{"id":117796,"date":"2026-10-25T12:24:24","date_gmt":"2026-10-25T04:24:24","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/117796.html"},"modified":"2026-10-25T12:24:24","modified_gmt":"2026-10-25T04:24:24","slug":"%e5%b0%8f%e7%ba%a2%e7%9a%84%e6%95%b4%e6%95%b0%e6%93%8d%e4%bd%9c%e3%80%90%e7%89%9b%e5%ae%a2tracker-%e6%af%8f%e6%97%a5%e4%b8%80%e9%a2%98%e3%80%91","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/117796.html","title":{"rendered":"\u5c0f\u7ea2\u7684\u6574\u6570\u64cd\u4f5c\u3010\u725b\u5ba2tracker & \u6bcf\u65e5\u4e00\u9898\u3011"},"content":{"rendered":"

\u5c0f\u7ea2\u7684\u6574\u6570\u64cd\u4f5c<\/h2>\n

\u65f6\u95f4\u9650\u5236：1 \u79d2 \u7a7a\u95f4\u9650\u5236：256M<\/p>\n

\u7f51\u9875\u94fe\u63a5<\/h3>\n

\u725b\u5ba2tracker<\/h3>\n

\u725b\u5ba2tracker & \u6bcf\u65e5\u4e00\u9898，\u5b8c\u6210\u6bcf\u65e5\u6253\u5361，\u5373\u53ef\u83b7\u5f97\u725b\u5e01\u3002\u83b7\u5f97\u76f8\u5e94\u6570\u91cf\u7684\u725b\u5e01，\u80fd\u5728\u3010\u725b\u5e01\u5151\u6362\u4e2d\u5fc3\u3011，\u6362\u53d6\u76f8\u5e94\u5956\u54c1！\u52a9\u529b\u6bcf\u65e5\u6709\u9898\u505a，\u4e30\u76c8\u725b\u5e01\u65e5\u76ca\u591a！<\/p>\n

\n

\u9898\u76ee\u63cf\u8ff0<\/h3>\n

\u5c0f\u7ea2\u62ff\u5230\u4e86\u4e24\u4e2a\u6b63\u6574\u6570 <\/p>\n

x<\/p>\n

,<\/p>\n

y<\/p>\n

x, y<\/p>\n

<\/span><\/span>x<\/span>,<\/span><\/span>y<\/span><\/span><\/span><\/span><\/span>，\u5979\u53ef\u4ee5\u8fdb\u884c\u4ee5\u4e0b\u4e24\u79cd\u64cd\u4f5c：<\/p>\n

  • \u5c06\u4e24\u4e2a\u6570\u540c\u65f6\u4e58\u4ee5 \n

    a<\/p>\n

    a<\/p>\n

    <\/span><\/span>a<\/span><\/span><\/span><\/span><\/span>\u3002<\/li>\n

  • \u82e5 \n

    a<\/p>\n

    a<\/p>\n

    <\/span><\/span>a<\/span><\/span><\/span><\/span><\/span> \u65e2\u662f <\/p>\n

    x<\/p>\n

    x<\/p>\n

    <\/span><\/span>x<\/span><\/span><\/span><\/span><\/span> \u7684\u56e0\u5b50，\u4e5f\u662f <\/p>\n

    y<\/p>\n

    y<\/p>\n

    <\/span><\/span>y<\/span><\/span><\/span><\/span><\/span> \u7684\u56e0\u5b50，\u5219\u5c06\u4e24\u4e2a\u6570\u540c\u65f6\u9664\u4ee5 <\/p>\n

    a<\/p>\n

    a<\/p>\n

    <\/span><\/span>a<\/span><\/span><\/span><\/span><\/span>\u3002<\/li>\n

    \u5c0f\u7ea2\u5e0c\u671b\u6700\u7ec8\u4e24\u4e2a\u6570\u90fd\u5728 <\/p>\n

    [<\/p>\n

    l<\/p>\n

    ,<\/p>\n

    r<\/p>\n

    ]<\/p>\n

    [l, r]<\/p>\n

    <\/span><\/span>[<\/span>l<\/span>,<\/span><\/span>r<\/span>]<\/span><\/span><\/span><\/span><\/span> \u533a\u95f4\u5185\u3002\u5979\u60f3\u77e5\u9053\u6700\u7ec8\u7684 <\/p>\n

    x<\/p>\n

    x<\/p>\n

    <\/span><\/span>x<\/span><\/span><\/span><\/span><\/span> \u6709\u591a\u5c11\u79cd\u4e0d\u540c\u7684\u53d6\u503c\u65b9\u6848？<\/p>\n

    \n

    \u8f93\u5165\u63cf\u8ff0<\/h3>\n

    \u56db\u4e2a\u6b63\u6574\u6570 <\/p>\n

    x<\/p>\n

    ,<\/p>\n

    y<\/p>\n

    ,<\/p>\n

    l<\/p>\n

    ,<\/p>\n

    r<\/p>\n

    x, y, l, r<\/p>\n

    <\/span><\/span>x<\/span>,<\/span><\/span>y<\/span>,<\/span><\/span>l<\/span>,<\/span><\/span>r<\/span><\/span><\/span><\/span><\/span>，\u7528\u7a7a\u683c\u9694\u5f00\u3002<\/p>\n

    <\/p>\n

    1<\/p>\n

    \u2264<\/p>\n

    x<\/p>\n

    ,<\/p>\n

    y<\/p>\n

    ,<\/p>\n

    l<\/p>\n

    ,<\/p>\n

    r<\/p>\n

    \u2264<\/p>\n

    10<\/p>\n

    9<\/p>\n

    1 \\\\le x, y, l, r \\\\le 10^9<\/p>\n

    <\/span><\/span>1<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>x<\/span>,<\/span><\/span>y<\/span>,<\/span><\/span>l<\/span>,<\/span><\/span>r<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>1<\/span>0<\/span><\/span>9<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

    \n

    \u8f93\u51fa\u63cf\u8ff0<\/h3>\n

    \u4e00\u4e2a\u6574\u6570，\u4ee3\u8868\u6700\u7ec8 <\/p>\n

    x<\/p>\n

    x<\/p>\n

    <\/span><\/span>x<\/span><\/span><\/span><\/span><\/span> \u7684\u53d6\u503c\u65b9\u6848\u3002<\/p>\n

    \n

    \u793a\u4f8b 1<\/h3>\n

    \u8f93\u5165：<\/p>\n

    2 3 2 6<\/p>\n

    \u8f93\u51fa：<\/p>\n

    2<\/p>\n

    \u8bf4\u660e： \u7b2c\u4e00\u79cd\u65b9\u6848，\u4e0d\u8fdb\u884c\u4efb\u4f55\u64cd\u4f5c，\u6b64\u65f6 <\/p>\n

    x<\/p>\n

    x<\/p>\n

    <\/span><\/span>x<\/span><\/span><\/span><\/span><\/span> \u7b49\u4e8e <\/p>\n

    2<\/p>\n

    2<\/p>\n

    <\/span><\/span>2<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n

    \u7b2c\u4e8c\u79cd\u65b9\u6848，\u5c06 <\/p>\n

    x<\/p>\n

    x<\/p>\n

    <\/span><\/span>x<\/span><\/span><\/span><\/span><\/span> \u548c <\/p>\n

    y<\/p>\n

    y<\/p>\n

    <\/span><\/span>y<\/span><\/span><\/span><\/span><\/span> \u540c\u65f6\u4e58\u4ee5 <\/p>\n

    2<\/p>\n

    2<\/p>\n

    <\/span><\/span>2<\/span><\/span><\/span><\/span><\/span>，\u6b64\u65f6 <\/p>\n

    x<\/p>\n

    x<\/p>\n

    <\/span><\/span>x<\/span><\/span><\/span><\/span><\/span> \u7b49\u4e8e <\/p>\n

    4<\/p>\n

    4<\/p>\n

    <\/span><\/span>4<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n

    \n

    \u6570\u636e\u8303\u56f4<\/h3>\n
      \n
    • \n

      1<\/p>\n

      \u2264<\/p>\n

      x<\/p>\n

      ,<\/p>\n

      y<\/p>\n

      ,<\/p>\n

      l<\/p>\n

      ,<\/p>\n

      r<\/p>\n

      \u2264<\/p>\n

      10<\/p>\n

      9<\/p>\n

      1 \\\\le x, y, l, r \\\\le 10^9<\/p>\n

      <\/span><\/span>1<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>x<\/span>,<\/span><\/span>y<\/span>,<\/span><\/span>l<\/span>,<\/span><\/span>r<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>1<\/span>0<\/span><\/span>9<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/li>\n<\/ul>\n

      \u89e3\u9898\u601d\u8def<\/h3>\n

      \u672c\u9898\u662f\u7ea6\u5206 + \u533a\u95f4\u8ba1\u6570\u7684\u7b80\u5355\u6570\u5b66\u9898\u3002\u7ed9\u5b9a\u4e24\u4e2a\u6b63\u6574\u6570 (x, y)，\u6bcf\u6b21\u64cd\u4f5c\u53ef\u4ee5\u540c\u65f6\u4e58\u4ee5\u4efb\u610f\u6574\u6570 (a)，\u6216\u8005\u540c\u65f6\u9664\u4ee5\u4e00\u4e2a\u65e2\u662f (x) \u7684\u56e0\u5b50\u4e5f\u662f (y) \u7684\u56e0\u5b50\u7684 (a)\u3002\u8981\u6c42\u6700\u7ec8\u4e24\u4e2a\u6570\u90fd\u843d\u5728\u533a\u95f4 ([l, r]) \u5185，\u95ee\u6700\u7ec8 (x) \u6709\u591a\u5c11\u79cd\u4e0d\u540c\u7684\u53d6\u503c\u3002<\/p>\n

      1. \u95ee\u9898\u7b49\u4ef7\u8f6c\u5316<\/h5>\n
        \n
      • \u8bbe (g = \\\\gcd(x, y))，\u5219 (x = g \\\\cdot a,\\\\ y = g \\\\cdot b)，\u5176\u4e2d (a, b) \u4e92\u8d28（(\\\\gcd(a, b) = 1)）\u3002<\/li>\n
      • \u540c\u65f6\u4e58\u4ee5\u6216\u9664\u4ee5\u516c\u5171\u56e0\u5b50，\u672c\u8d28\u4e0a\u53ea\u6539\u53d8\u516c\u5171\u56e0\u5b50 (g) \u7684\u5927\u5c0f，\u800c\u4e92\u8d28\u90e8\u5206\u7684\u6bd4\u4f8b (a : b) \u59cb\u7ec8\u4fdd\u6301\u4e0d\u53d8\u3002\u56e0\u6b64\u7ecf\u8fc7\u4efb\u610f\u6b21\u64cd\u4f5c\u540e，\u4e24\u4e2a\u6570\u4e00\u5b9a\u5f62\u5982： \n

        x<\/p>\n

        \u2032<\/p>\n

        =<\/p>\n

        k<\/p>\n

        \u22c5<\/p>\n

        a<\/p>\n

        ,<\/p>\n

        y<\/p>\n

        \u2032<\/p>\n

        =<\/p>\n

        k<\/p>\n

        \u22c5<\/p>\n

        b<\/p>\n

        x' = k \\\\cdot a,\\\\qquad y' = k \\\\cdot b <\/p>\n

        <\/span><\/span>x<\/span><\/span>\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>k<\/span><\/span>\u22c5<\/span><\/span><\/span><\/span>a<\/span>,<\/span><\/span><\/span>y<\/span><\/span>\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>k<\/span><\/span>\u22c5<\/span><\/span><\/span><\/span>b<\/span><\/span><\/span><\/span><\/span><\/span> \u5176\u4e2d (k) \u4e3a\u67d0\u4e2a\u6b63\u6574\u6570\u3002<\/li>\n

      • \u9898\u76ee\u8981\u6c42 (x\u2019) \u548c (y\u2019) \u90fd\u843d\u5728 ([l, r]) \u5185，\u5373： \n

        l<\/p>\n

        \u2264<\/p>\n

        k<\/p>\n

        a<\/p>\n

        \u2264<\/p>\n

        r<\/p>\n

        ,<\/p>\n

        l<\/p>\n

        \u2264<\/p>\n

        k<\/p>\n

        b<\/p>\n

        \u2264<\/p>\n

        r<\/p>\n

        l \\\\le k a \\\\le r,\\\\qquad l \\\\le k b \\\\le r <\/p>\n

        <\/span><\/span>l<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>k<\/span>a<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>r<\/span>,<\/span><\/span><\/span>l<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>k<\/span>b<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>r<\/span><\/span><\/span><\/span><\/span><\/span><\/li>\n

      • \u8fd9\u7b49\u4ef7\u4e8e\u5bf9 (k) \u7684\u7ea6\u675f： \n

        k<\/p>\n

        \u2265<\/p>\n

        \u2308<\/p>\n

        l<\/p>\n

        a<\/p>\n

        \u2309<\/p>\n

        ,<\/p>\n

        k<\/p>\n

        \u2265<\/p>\n

        \u2308<\/p>\n

        l<\/p>\n

        b<\/p>\n

        \u2309<\/p>\n

        k \\\\ge \\\\left\\\\lceil \\\\frac{l}{a} \\\\right\\\\rceil,\\\\quad k \\\\ge \\\\left\\\\lceil \\\\frac{l}{b} \\\\right\\\\rceil <\/p>\n

        <\/span><\/span>k<\/span><\/span>\u2265<\/span><\/span><\/span><\/span>\u2308<\/span><\/span><\/span><\/span>a<\/span><\/span><\/span><\/span><\/span><\/span><\/span>l<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2309<\/span><\/span><\/span><\/span>,<\/span><\/span><\/span>k<\/span><\/span>\u2265<\/span><\/span><\/span><\/span>\u2308<\/span><\/span><\/span><\/span>b<\/span><\/span><\/span><\/span><\/span><\/span><\/span>l<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2309<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> <\/p>\n

        k<\/p>\n

        \u2264<\/p>\n

        \u230a<\/p>\n

        r<\/p>\n

        a<\/p>\n

        \u230b<\/p>\n

        ,<\/p>\n

        k<\/p>\n

        \u2264<\/p>\n

        \u230a<\/p>\n

        r<\/p>\n

        b<\/p>\n

        \u230b<\/p>\n

        k \\\\le \\\\left\\\\lfloor \\\\frac{r}{a} \\\\right\\\\rfloor,\\\\quad k \\\\le \\\\left\\\\lfloor \\\\frac{r}{b} \\\\right\\\\rfloor <\/p>\n

        <\/span><\/span>k<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>\u230a<\/span><\/span><\/span><\/span>a<\/span><\/span><\/span><\/span><\/span><\/span><\/span>r<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u230b<\/span><\/span><\/span><\/span>,<\/span><\/span><\/span>k<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>\u230a<\/span><\/span><\/span><\/span>b<\/span><\/span><\/span><\/span><\/span><\/span><\/span>r<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u230b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/li>\n

      • \u7531\u4e8e (a, b) \u4e92\u8d28\u4e14 (x\u2019) \u7684\u4e0d\u540c\u53d6\u503c\u7531 (k) \u7684\u4e0d\u540c\u53d6\u503c\u552f\u4e00\u51b3\u5b9a（(x\u2019 = k a)），\u95ee\u9898\u8f6c\u5316\u4e3a\u6c42\u6ee1\u8db3\u4e0a\u8ff0\u6761\u4ef6\u7684\u6b63\u6574\u6570 (k) \u7684\u4e2a\u6570\u3002<\/li>\n<\/ul>\n
        2. \u7b80\u5316\u8ba1\u7b97<\/h5>\n
          \n
        • \u4ee4 (m_1 = \\\\min(a, b))，(m_2 = \\\\max(a, b))\u3002\u56e0\u4e3a\u8981\u6c42\u4e24\u4e2a\u6570\u90fd\u4e0d\u5c0f\u4e8e (l)，\u6240\u4ee5 (k) \u7684\u4e0b\u754c\u7531\u8f83\u5927\u7684\u5206\u6bcd\u51b3\u5b9a？\u5b9e\u9645\u4e0a：\n
            \n
          • (k \\\\ge \\\\lceil l\/a \\\\rceil) \u4e14 (k \\\\ge \\\\lceil l\/b \\\\rceil)，\u56e0\u6b64 (k \\\\ge \\\\lceil l \/ m_1 \\\\rceil)\u3002<\/li>\n
          • (k \\\\le \\\\lfloor r\/a \\\\rfloor) \u4e14 (k \\\\le \\\\lfloor r\/b \\\\rfloor)，\u56e0\u6b64 (k \\\\le \\\\lfloor r \/ m_2 \\\\rfloor)\u3002<\/li>\n<\/ul>\n<\/li>\n
          • \u8bb0 \n

            L<\/p>\n

            =<\/p>\n

            \u2308<\/p>\n

            l<\/p>\n

            m<\/p>\n

            1<\/p>\n

            \u2309<\/p>\n

            ,<\/p>\n

            R<\/p>\n

            =<\/p>\n

            \u230a<\/p>\n

            r<\/p>\n

            m<\/p>\n

            2<\/p>\n

            \u230b<\/p>\n

            L = \\\\left\\\\lceil \\\\frac{l}{m_1} \\\\right\\\\rceil,\\\\qquad R = \\\\left\\\\lfloor \\\\frac{r}{m_2} \\\\right\\\\rfloor <\/p>\n

            <\/span><\/span>L<\/span><\/span>=<\/span><\/span><\/span><\/span>\u2308<\/span><\/span><\/span><\/span>m<\/span><\/span>1<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>l<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2309<\/span><\/span><\/span><\/span>,<\/span><\/span><\/span>R<\/span><\/span>=<\/span><\/span><\/span><\/span>\u230a<\/span><\/span><\/span><\/span>m<\/span><\/span>2<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>r<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u230b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/li>\n

          • \u6574\u6570 (k) \u7684\u4e2a\u6570\u4e3a (\\\\max(0, R – L + 1))\u3002<\/li>\n
          • \u4ee3\u7801\u4e2d\u91c7\u7528\u7b49\u4ef7\u53d8\u5f62： \n

            le<\/p>\n

            =<\/p>\n

            \u230a<\/p>\n

            l<\/p>\n

            \u2212<\/p>\n

            1<\/p>\n

            m<\/p>\n

            1<\/p>\n

            \u230b<\/p>\n

            =<\/p>\n

            L<\/p>\n

            \u2212<\/p>\n

            1<\/p>\n

            ,<\/p>\n

            ri<\/p>\n

            =<\/p>\n

            \u230a<\/p>\n

            r<\/p>\n

            m<\/p>\n

            2<\/p>\n

            \u230b<\/p>\n

            =<\/p>\n

            R<\/p>\n

            \\\\text{le} = \\\\left\\\\lfloor \\\\frac{l-1}{m_1} \\\\right\\\\rfloor = L – 1,\\\\qquad \\\\text{ri} = \\\\left\\\\lfloor \\\\frac{r}{m_2} \\\\right\\\\rfloor = R <\/p>\n

            <\/span><\/span>le<\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>\u230a<\/span><\/span><\/span><\/span>m<\/span><\/span>1<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>l<\/span><\/span>\u2212<\/span><\/span>1<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u230b<\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>L<\/span><\/span>\u2212<\/span><\/span><\/span><\/span>1<\/span>,<\/span><\/span><\/span>ri<\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>\u230a<\/span><\/span><\/span><\/span>m<\/span><\/span>2<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>r<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u230b<\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>R<\/span><\/span><\/span><\/span><\/span><\/span> \u56e0\u6b64\u7b54\u6848 (= \\\\max(0, \\\\text{ri} – \\\\text{le}))，\u4e0e (R – L + 1) \u5b8c\u5168\u4e00\u81f4\u3002<\/li>\n<\/ul>\n

            3. \u7b97\u6cd5\u6b65\u9aa4<\/h5>\n
          • \u8bfb\u5165 (x, y, l, r)\u3002<\/li>\n
          • \u8ba1\u7b97 (g = \\\\gcd(x, y))\u3002<\/li>\n
          • \u4ee4 (a = x \/ g,\\\\ b = y \/ g)，\u5f97\u5230\u4e92\u8d28\u7684\u6bd4\u4f8b\u3002<\/li>\n
          • \u4ee4 (m_1 = \\\\min(a, b),\\\\ m_2 = \\\\max(a, b))\u3002<\/li>\n
          • \u8ba1\u7b97\u4e0b\u754c\u53c2\u6570 (le = (l – 1) \/ m_1)，\u4e0a\u754c\u53c2\u6570 (ri = r \/ m_2)（\u5747\u4e3a\u6574\u6570\u9664\u6cd5）\u3002<\/li>\n
          • \u7b54\u6848 (ans = \\\\max(0, ri – le))\u3002<\/li>\n
          • \u8f93\u51fa (ans)\u3002<\/li>\n
            4. \u590d\u6742\u5ea6\u5206\u6790<\/h5>\n
              \n
            • \u65f6\u95f4\u590d\u6742\u5ea6：\u6c42\u6700\u5927\u516c\u7ea6\u6570\u4f7f\u7528\u6b27\u51e0\u91cc\u5f97\u7b97\u6cd5，\u590d\u6742\u5ea6 (O(\\\\log \\\\min(x, y)))；\u5176\u4f59\u4e3a\u5e38\u6570\u6b21\u7b97\u672f\u8fd0\u7b97\u3002\u603b\u65f6\u95f4\u590d\u6742\u5ea6 (O(\\\\log \\\\min(x, y)))\u3002<\/li>\n
            • \u7a7a\u95f4\u590d\u6742\u5ea6：\u4ec5\u4f7f\u7528\u5e38\u6570\u4e2a\u53d8\u91cf，(O(1))\u3002<\/li>\n<\/ul>\n

              \u603b\u7ed3<\/h4>\n

              \u901a\u8fc7\u7ea6\u53bb\u6700\u5927\u516c\u7ea6\u6570，\u5c06\u4e24\u4e2a\u6570\u7684\u6bd4\u4f8b\u56fa\u5b9a\u4e3a\u4e92\u8d28\u7684 (a : b)\u3002\u6700\u7ec8\u4e24\u4e2a\u6570\u5747\u4e3a\u6bd4\u4f8b\u4e58\u4ee5\u540c\u4e00\u4e2a\u6b63\u6574\u6570 (k)\u3002\u6839\u636e\u533a\u95f4 ([l, r]) \u5bf9 (k) \u7684\u4e0a\u4e0b\u754c\u7ea6\u675f，\u76f4\u63a5\u8ba1\u7b97\u6ee1\u8db3\u6761\u4ef6\u7684 (k) \u7684\u4e2a\u6570，\u5373\u4e3a\u6700\u7ec8 (x) \u7684\u4e0d\u540c\u53d6\u503c\u6570\u91cf\u3002\u65b9\u6cd5\u7b80\u6d01\u4e14\u9ad8\u6548，\u5b8c\u7f8e\u89e3\u51b3\u4e86\u5927\u8303\u56f4\u6570\u636e\u4e0b\u7684\u8ba1\u6570\u95ee\u9898\u3002<\/p>\n

              \u4ee3\u7801\u5185\u5bb9<\/h3>\n

              #<\/span>include<\/span> <bits\/stdc++.h><\/span><\/span>
              \nusing<\/span> namespace<\/span> std;<\/span><\/p>\n

              #<\/span>define<\/span> endl<\/span> '\\\\n'<\/span><\/span>
              \ntypedef<\/span> long<\/span> long<\/span> ll;<\/span>
              \ntypedef<\/span> unsigned<\/span> long<\/span> long<\/span> ull;<\/span>
              \ntypedef<\/span> vector<<\/span>vector<<\/span>ll>><\/span> vvt;<\/span>
              \ntypedef<\/span> pair<<\/span>ll,<\/span>ll><\/span> pll;<\/span>
              \nconst<\/span> ll N=<\/span>1e3<\/span>+<\/span>10<\/span>;<\/span>
              \nconst<\/span> ll INF=<\/span>1e18<\/span>;<\/span>
              \nconst<\/span> ll M=<\/span>1e6<\/span>+<\/span>10<\/span>;<\/span>
              \nconst<\/span> ll mod=<\/span>1e9<\/span>+<\/span>7<\/span>;<\/span><\/p>\n

              void<\/span> solve<\/span>(<\/span>)<\/span>
              \n{<\/span>
              \n ll a,<\/span>b,<\/span>c,<\/span>d;<\/span>
              \n cin>><\/span>a>><\/span>b>><\/span>c>><\/span>d;<\/span>
              \n ll g=<\/span>__gcd<\/span>(<\/span>a,<\/span>b)<\/span>;<\/span>
              \n a=<\/span>a\/<\/span>g;<\/span>
              \n b=<\/span>b\/<\/span>g;<\/span>
              \n ll m1=<\/span>min<\/span>(<\/span>a,<\/span>b)<\/span>;<\/span>
              \n ll m2=<\/span>max<\/span>(<\/span>a,<\/span>b)<\/span>;<\/span>
              \n ll le=<\/span>(<\/span>c–<\/span>1<\/span>)<\/span>\/<\/span>m1;<\/span>
              \n ll ri=<\/span>d\/<\/span>m2;<\/span>
              \n ll res=<\/span>max<\/span>(<\/span>0LL<\/span>,<\/span>ri–<\/span>le)<\/span>;<\/span>
              \n cout<<<\/span>res<<<\/span>'\\\\n'<\/span>;<\/span>
              \n}<\/span><\/p>\n

              int<\/span> main<\/span>(<\/span>)<\/span>
              \n{<\/span>
              \n ios::<\/span>sync_with_stdio<\/span>(<\/span>0<\/span>)<\/span>;<\/span>
              \n cin.<\/span>tie<\/span>(<\/span>0<\/span>)<\/span>,<\/span>cout.<\/span>tie<\/span>(<\/span>0<\/span>)<\/span>;<\/span>
              \n solve<\/span>(<\/span>)<\/span>;<\/span>
              \n return<\/span> 0<\/span>;<\/span>
              \n}<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

              \u5c0f\u7ea2\u7684\u6574\u6570\u64cd\u4f5c \u65f6\u95f4\u9650\u5236：1 \u79d2 \u7a7a\u95f4\u9650\u5236：256M \u7f51\u9875\u94fe\u63a5
              \n\u725b\u5ba2tracker
              \n\u725b\u5ba2tracker & \u6bcf\u65e5\u4e00\u9898，\u5b8c\u6210\u6bcf\u65e5\u6253\u5361，\u5373\u53ef\u83b7\u5f97\u725b\u5e01\u3002\u83b7\u5f97\u76f8\u5e94\u6570\u91cf\u7684\u725b\u5e01，\u80fd\u5728\u3010\u725b\u5e01\u5151\u6362\u4e2d\u5fc3\u3011，\u6362\u53d6\u76f8\u5e94\u5956\u54c1！\u52a9\u529b\u6bcf\u65e5\u6709\u9898\u505a，\u4e30\u76c8\u725b\u5e01\u65e5\u76ca\u591a！ \u9898\u76ee\u63cf\u8ff0
              \n\u5c0f\u7ea2\u62ff\u5230\u4e86\u4e24\u4e2a\u6b63\u6574\u6570 x,yx, yx,y，\u5979\u53ef\u4ee5\u8fdb\u884c\u4ee5\u4e0b\u4e24\u79cd\u64cd\u4f5c：
              \n\u5c06<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[11820,55,1813,427],"topic":[],"class_list":["post-117796","post","type-post","status-publish","format-standard","hentry","category-server","tag-atomgit","tag-c","tag-1813","tag-427"],"yoast_head":"\n\u5c0f\u7ea2\u7684\u6574\u6570\u64cd\u4f5c\u3010\u725b\u5ba2tracker & \u6bcf\u65e5\u4e00\u9898\u3011 - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.wsisp.com\/helps\/117796.html\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u5c0f\u7ea2\u7684\u6574\u6570\u64cd\u4f5c\u3010\u725b\u5ba2tracker & \u6bcf\u65e5\u4e00\u9898\u3011 - 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