Cod sursa(job #327158)

Utilizator ProtomanAndrei Purice Protoman Data 27 iunie 2009 13:54:27
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 0.76 kb
#include <algorithm>
#include <stdio.h>

using namespace std;

int t;

inline int gcd(int a, int b)
{
	if (!b)
		return a;
	return gcd(b, a % b);
}

inline void euclidExtins(int a, int b, int &x, int &y)
{
	if (!b)
	{
		x = 1;
		y = 0;

		return;
	}
	euclidExtins(b, a % b, x, y);
	int xp = x;
	x = y;
	y = xp - (a / b) * y;
}

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

	for (scanf("%d", &t); t; t--)
	{
		int a, b, c;
		scanf("%d %d %d", &a, &b, &c);
		int cmmdc = gcd(a, b);

		if (c % cmmdc)
			printf("0 0\n");
		else
		{
			int x, y;
			euclidExtins(a, b, x, y);

			printf("%d %d\n", c / cmmdc * x, c / cmmdc * y);
		}
	}

	fclose(stdin);
	fclose(stdout);
	return 0;
}