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	<title>EuclidProblem/문보창 - Revision history</title>
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	<updated>2026-05-14T12:25:28Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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		<title>imported&gt;Unknown at 05:23, 7 February 2021</title>
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		<updated>2021-02-07T05:23:14Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;==== 소감 ====&lt;br /&gt;
2005/03/31 Accepted 0:01.820 436 &lt;br /&gt;
예전에 정수론 책에서 본 유클리드 알고리즘의 응용문제이다. AX + BY = GCD 에서 gcd와 x, y 구하는 법을 [[문보창]]페이지에 원래 가지고 있었기 때문에 단순한 copy&amp;amp;paste로 문제를 풀 수 있었다. &lt;br /&gt;
&lt;br /&gt;
==== 코드 ====&lt;br /&gt;
 // no10104 - Euclid Problem&lt;br /&gt;
 #include &amp;amp;lt;iostream&amp;amp;gt;&lt;br /&gt;
 #include &amp;amp;lt;cmath&amp;amp;gt;&lt;br /&gt;
 using namespace std;&lt;br /&gt;
 &lt;br /&gt;
 int gcd(int p, int q, int &amp;amp;amp; x, int &amp;amp;amp; y);&lt;br /&gt;
 &lt;br /&gt;
 int main()&lt;br /&gt;
 {&lt;br /&gt;
 	int a, b;&lt;br /&gt;
 	int x, y;&lt;br /&gt;
 	int g;				// gcd&lt;br /&gt;
 	while (cin &amp;amp;gt;&amp;amp;gt; a &amp;amp;gt;&amp;amp;gt; b)&lt;br /&gt;
 	{	&lt;br /&gt;
 		g = gcd(a, b, x, y);&lt;br /&gt;
 		cout &amp;amp;lt;&amp;amp;lt; x &amp;amp;lt;&amp;amp;lt; &amp;quot; &amp;quot; &amp;amp;lt;&amp;amp;lt; y &amp;amp;lt;&amp;amp;lt; &amp;quot; &amp;quot; &amp;amp;lt;&amp;amp;lt; g &amp;amp;lt;&amp;amp;lt; endl;&lt;br /&gt;
 	}&lt;br /&gt;
 	return 0;&lt;br /&gt;
 }&lt;br /&gt;
 &lt;br /&gt;
 int gcd(int p, int q, int &amp;amp;amp; x, int &amp;amp;amp; y) &lt;br /&gt;
 { &lt;br /&gt;
         int x1, y1;             // 이전계수 &lt;br /&gt;
         int g;                  // gcd &lt;br /&gt;
  &lt;br /&gt;
         if (p &amp;amp;lt; q) return (gcd(q, p, y, x)); &lt;br /&gt;
  &lt;br /&gt;
         if (q == 0) &lt;br /&gt;
         { &lt;br /&gt;
                 x = 1; &lt;br /&gt;
                 y = 0; &lt;br /&gt;
                 return p; &lt;br /&gt;
         }  &lt;br /&gt;
         g = gcd(q, p%q, x1, y1);  &lt;br /&gt;
         x = y1; &lt;br /&gt;
         y = (x1 - floor(p/q) * y1); &lt;br /&gt;
         return g; &lt;br /&gt;
 } &lt;br /&gt;
==== 나한테 할 말 ====&lt;br /&gt;
----&lt;br /&gt;
[[EuclidProblem]] [[AOI]] [[문보창]]&lt;br /&gt;
&lt;/div&gt;</summary>
		<author><name>imported&gt;Unknown</name></author>
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