Cod sursa(job #1222022)

Utilizator sziliMandici Szilard szili Data 21 august 2014 22:19:12
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 0.68 kb
#include <stdio.h>
#include <stdlib.h>


int gcd(int a, int b, int &x, int &y)
{
	if (b == 0)
	{
		x = 1;
		y = 0;
		return a;
	} 

	int x0, y0;
	int d = gcd(b, a%b, x0, y0);

	x = y0;
	y = x0 - a/b * y0;

	return d;
}

void solve(int a, int b, int c)
{
	int x, y, d;

	d = gcd(a, b, x, y);

	if (c % d != 0)
	{
		printf("0 0\n");	
	} else
	{
		int X, Y;
		X = c/d * x;
		Y = c/d * y;
		printf("%d %d\n", X, Y);
	}
}


int main()
{
	freopen("euclid3.in", "r", stdin);
	freopen("euclid3.out", "w", stdout);

	int t;
	scanf("%d", &t);

	for (int i=0; i<t; i++)
	{
		int a,b,c;
		scanf("%d%d%d", &a, &b, &c);

		solve(a,b,c);
	}


	return 0;
}