Cod sursa(job #865127)

Utilizator gabriel.badeaGabriel Badea gabriel.badea Data 26 ianuarie 2013 01:42:31
Problema Algoritmul lui Euclid extins Scor 100
Compilator c 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;
	}

	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;
}