Cod sursa(job #1657319)

Utilizator Iri00FII Irinel Manolache Iri00 Data 20 martie 2016 13:22:06
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 0.76 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;
	}
	else
	{
		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;
}