Cod sursa(job #685763)

Utilizator kis_lorikis levente lorand kis_lori Data 21 februarie 2012 10:23:10
Problema Algoritmul lui Euclid extins Scor 0
Compilator cpp Status done
Runda Arhiva educationala Marime 0.59 kb
#include <stdio.h>

inline int gcd( int A, int B, int &X, int &Y )
{
	if (B == 0)
	{
		X = 1;
		Y = 0;
		return A;
	}

	int X0, Y0, D;
	D = gcd( B, A % B, X0, Y0 );
	
	X = Y0;
	Y = X0 - (A / B) * Y0;
	return D;
}

int main()
{
	freopen("euclid3.in", "rt", stdin);
	freopen("euclid3.out", "wt", stdout);

	int T;
	for (scanf("%d", &T), assert( T <= 100 ); T; T--)
	{
		int A, B, C;
		scanf("%d %d %d", &A, &B, &C);

		int D, X, Y;
		D = gcd( A, B, X, Y );
		
		if (C % D)
			printf("0 0\n");
		else
			printf("%d %d\n", X * (C / D), Y * (C / D));
	}

	return 0;
}