拓展欧几里德算法

Author: Dev-XYS

Extended-Euclid.cpp

@@ -0,0 +1,31 @@
+#include <cstdio>
+
+using namespace std;
+
+int extended_gcd(int a, int b, int &x, int &y)
+{
+	if (b == 0)
+	{
+		x = 1;
+		y = 0;
+		return a;
+	}
+	int _gcd = extended_gcd(b, a % b, x, y);
+	int temp = x;
+	x = y;
+	y = temp - (a / b) * y;
+	return _gcd;
+}
+
+int main()
+{
+	int a, b, x, y;
+	while (true)
+	{
+		scanf("%d%d", &a, &b);
+		int gcd = extended_gcd(a, b, x, y);
+		printf("gcd = %d, x = %d, y = %d.\n", extended_gcd(a, b, x, y), x, y);
+	}
+	
+	return 0;
+}