{"id":88899,"date":"2026-08-01T23:48:31","date_gmt":"2026-08-01T15:48:31","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/88899.html"},"modified":"2026-08-01T23:48:31","modified_gmt":"2026-08-01T15:48:31","slug":"pta%e5%9f%ba%e7%a1%80%e7%bc%96%e7%a8%8b%e9%a2%98%e7%9b%ae%e9%9b%86-7-33-%e6%9c%89%e7%90%86%e6%95%b0%e5%8a%a0%e6%b3%95%ef%bc%88c%e8%af%ad%e8%a8%80%e5%ae%9e%e7%8e%b0%ef%bc%89","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/88899.html","title":{"rendered":"PTA\u57fa\u7840\u7f16\u7a0b\u9898\u76ee\u96c6 7-33 \u6709\u7406\u6570\u52a0\u6cd5\uff08C\u8bed\u8a00\u5b9e\u73b0\uff09"},"content":{"rendered":"

\u6458\u8981：\u672c\u9898\u8981\u6c42\u8ba1\u7b97\u4e24\u4e2a\u5206\u6570\u5f62\u5f0f\u6709\u7406\u6570\u7684\u548c，\u8f93\u5165\u4ee5 a1\/b1 a2\/b2 \u683c\u5f0f\u7ed9\u51fa，\u9700\u901a\u5206\u3001\u7ea6\u5206\u540e\u8f93\u51fa\u6700\u7b80\u5206\u6570；\u82e5\u5206\u6bcd\u4e3a 1 \u5219\u4ec5\u8f93\u51fa\u5206\u5b50\u3002\u6838\u5fc3\u8003\u5bdf\u5206\u6570\u901a\u5206\u3001\u8f97\u8f6c\u76f8\u9664\u6cd5\u6c42\u6700\u5927\u516c\u7ea6\u6570\u53ca\u7ea6\u5206\u5904\u7406\u3002<\/p>\n

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

\u672c\u9898\u8981\u6c42\u7f16\u5199\u7a0b\u5e8f，\u8ba1\u7b97\u4e24\u4e2a\u6709\u7406\u6570\u7684\u548c\u3002<\/p>\n

\u8f93\u5165\u683c\u5f0f：<\/h4>\n

\u8f93\u5165\u5728\u4e00\u884c\u4e2d\u6309\u7167a1\/b1 a2\/b2\u7684\u683c\u5f0f\u7ed9\u51fa\u4e24\u4e2a\u5206\u6570\u5f62\u5f0f\u7684\u6709\u7406\u6570，\u5176\u4e2d\u5206\u5b50\u548c\u5206\u6bcd\u5168\u662f\u6574\u578b\u8303\u56f4\u5185\u7684\u6b63\u6574\u6570\u3002<\/p>\n

\u8f93\u51fa\u683c\u5f0f：<\/h4>\n

\u5728\u4e00\u884c\u4e2d\u6309\u7167 a\/b \u7684\u683c\u5f0f\u8f93\u51fa\u4e24\u4e2a\u6709\u7406\u6570\u7684\u548c\u3002\u6ce8\u610f\u5fc5\u987b\u662f\u8be5\u6709\u7406\u6570\u7684\u6700\u7b80\u5206\u6570\u5f62\u5f0f，\u82e5\u5206\u6bcd\u4e3a1，\u5219\u53ea\u8f93\u51fa\u5206\u5b50\u3002<\/p>\n

\u8f93\u5165\u6837\u4f8b：<\/h4>\n

1\/3 1\/6<\/p>\n

4\/3 2\/3<\/p>\n

\u8f93\u51fa\u6837\u4f8b：<\/h4>\n

1\/2<\/p>\n

2<\/p>\n

\u4ee3\u7801\u90e8\u5206\u5b9e\u73b0<\/h3>\n

#<\/span>include<\/span> <stdio.h><\/span> \/\/ \u5f15\u5165\u6807\u51c6\u8f93\u5165\u8f93\u51fa\u5934\u6587\u4ef6<\/span><\/span><\/p>\n

int<\/span> gcd<\/span>(<\/span>int<\/span> a,<\/span> int<\/span> b)<\/span> {<\/span> \/\/ \u8f97\u8f6c\u76f8\u9664\u6cd5\u6c42\u6700\u5927\u516c\u7ea6\u6570<\/span>
\n return<\/span> b ==<\/span> 0<\/span> ?<\/span> a :<\/span> gcd<\/span>(<\/span>b,<\/span> a %<\/span> b)<\/span>;<\/span> \/\/ \u9012\u5f52\u8c03\u7528，\u76f4\u5230\u4f59\u6570\u4e3a0<\/span>
\n}<\/span><\/p>\n

int<\/span> main<\/span>(<\/span>)<\/span> {<\/span>
\n int<\/span> a1,<\/span> b1,<\/span> a2,<\/span> b2;<\/span> \/\/ \u5b9a\u4e49\u4e24\u4e2a\u6709\u7406\u6570\u7684\u5206\u5b50\u548c\u5206\u6bcd<\/span>
\n scanf<\/span>(<\/span>"%d\/%d %d\/%d"<\/span>,<\/span> &<\/span>a1,<\/span> &<\/span>b1,<\/span> &<\/span>a2,<\/span> &<\/span>b2)<\/span>;<\/span> \/\/ \u6309\u683c\u5f0f\u8bfb\u53d6\u4e24\u4e2a\u5206\u6570<\/span><\/p>\n

int<\/span> numerator =<\/span> a1 *<\/span> b2 +<\/span> a2 *<\/span> b1;<\/span> \/\/ \u8ba1\u7b97\u901a\u5206\u540e\u7684\u5206\u5b50：a1*b2 + a2*b1<\/span>
\n int<\/span> denominator =<\/span> b1 *<\/span> b2;<\/span> \/\/ \u8ba1\u7b97\u901a\u5206\u540e\u7684\u5206\u6bcd：b1*b2<\/span><\/p>\n

int<\/span> g =<\/span> gcd<\/span>(<\/span>numerator,<\/span> denominator)<\/span>;<\/span> \/\/ \u6c42\u5206\u5b50\u548c\u5206\u6bcd\u7684\u6700\u5927\u516c\u7ea6\u6570<\/span>
\n numerator \/=<\/span> g;<\/span> \/\/ \u5206\u5b50\u9664\u4ee5\u6700\u5927\u516c\u7ea6\u6570\u8fdb\u884c\u7ea6\u5206<\/span>
\n denominator \/=<\/span> g;<\/span> \/\/ \u5206\u6bcd\u9664\u4ee5\u6700\u5927\u516c\u7ea6\u6570\u8fdb\u884c\u7ea6\u5206<\/span><\/p>\n

if<\/span> (<\/span>denominator ==<\/span> 1<\/span>)<\/span> {<\/span> \/\/ \u5982\u679c\u5206\u6bcd\u4e3a1<\/span>
\n printf<\/span>(<\/span>"%d\\\\n"<\/span>,<\/span> numerator)<\/span>;<\/span> \/\/ \u53ea\u8f93\u51fa\u5206\u5b50<\/span>
\n }<\/span> else<\/span> {<\/span>
\n printf<\/span>(<\/span>"%d\/%d\\\\n"<\/span>,<\/span> numerator,<\/span> denominator)<\/span>;<\/span> \/\/ \u8f93\u51fa\u6700\u7b80\u5206\u6570\u5f62\u5f0f<\/span>
\n }<\/span><\/p>\n

return<\/span> 0<\/span>;<\/span> \/\/ \u7a0b\u5e8f\u6b63\u5e38\u7ed3\u675f<\/span>
\n}<\/span><\/p>\n

\u7b97\u6cd5\u6d41\u7a0b\u56fe<\/h3>\n

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<\/span><\/p>\n

<\/span><\/p>\n

<\/span><\/p>\n

<\/span><\/p>\n

<\/p>\n

\u662f<\/p>\n

<\/span><\/p>\n

<\/p>\n

\u5426<\/p>\n

<\/span><\/p>\n

<\/p>\n

\u8f93\u5165 a1\/b1 a2\/b2<\/p>\n

<\/span><\/p>\n

<\/p>\n

\u8ba1\u7b97\u5206\u5b50: a1*b2 + a2*b1<\/p>\n

<\/span><\/p>\n

<\/p>\n

\u8ba1\u7b97\u5206\u6bcd: b1*b2<\/p>\n

<\/span><\/p>\n

<\/p>\n

\u8c03\u7528 gcd(\u5206\u5b50, \u5206\u6bcd) \u6c42\u6700\u5927\u516c\u7ea6\u6570<\/p>\n

<\/span><\/p>\n

<\/p>\n

\u5206\u6bcd == 1?<\/p>\n

<\/span><\/p>\n

<\/p>\n

\u8f93\u51fa\u5206\u5b50<\/p>\n

<\/span><\/p>\n

<\/p>\n

\u8f93\u51fa \u5206\u5b50\/\u5206\u6bcd<\/p>\n

<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

\u6458\u8981：\u672c\u9898\u8981\u6c42\u8ba1\u7b97\u4e24\u4e2a\u5206\u6570\u5f62\u5f0f\u6709\u7406\u6570\u7684\u548c，\u8f93\u5165\u4ee5 a1\/b1 a2\/b2 \u683c\u5f0f\u7ed9\u51fa，\u9700\u901a\u5206\u3001\u7ea6\u5206\u540e\u8f93\u51fa\u6700\u7b80\u5206\u6570；\u82e5\u5206\u6bcd\u4e3a 1 \u5219\u4ec5\u8f93\u51fa\u5206\u5b50\u3002\u6838\u5fc3\u8003\u5bdf\u5206\u6570\u901a\u5206\u3001\u8f97\u8f6c\u76f8\u9664\u6cd5\u6c42\u6700\u5927\u516c\u7ea6\u6570\u53ca\u7ea6\u5206\u5904\u7406\u3002 \u9898\u76ee\u63cf\u8ff0
\n\u672c\u9898\u8981\u6c42\u7f16\u5199\u7a0b\u5e8f，\u8ba1\u7b97\u4e24\u4e2a\u6709\u7406\u6570\u7684\u548c\u3002
\n\u8f93\u5165\u683c\u5f0f：
\n\u8f93\u5165\u5728\u4e00\u884c\u4e2d\u6309\u7167a1\/b1 a2\/b2\u7684\u683c\u5f0f\u7ed9\u51fa\u4e24\u4e2a\u5206\u6570\u5f62\u5f0f\u7684\u6709\u7406\u6570，\u5176\u4e2d\u5206\u5b50\u548c\u5206\u6bcd\u5168\u662f\u6574\u578b\u8303\u56f4\u5185\u7684\u6b63\u6574\u6570\u3002
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