Cod sursa(job #143238)

Utilizator bogdan2412Bogdan-Cristian Tataroiu bogdan2412 Data 26 februarie 2008 08:30:18
Problema Algoritmul lui Euclid extins Scor Ascuns
Compilator cpp Status done
Runda Marime 0.72 kb
#include <stdio.h>
#include <assert.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);

		assert( -1000000000 <= A && A <= 1000000000 );
		assert( -1000000000 <= B && B <= 1000000000 );
		assert( -2000000000 <= C && C <= 2000000000 && C != 0 );
		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;
}