Cod sursa(job #1689839)

Utilizator Pley01Nitu Madalin Pley01 Data 14 aprilie 2016 16:43:41
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 0.75 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;
}