Cod sursa(job #234637)

Utilizator alex_mircescuAlex Mircescu alex_mircescu Data 21 decembrie 2008 14:08:10
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 0.6 kb
#include <stdio.h>
#include <math.h>

long a, b, c, t, d, x, y;

long gcd(long a, long b, long &x, long &y) {
	long X0, Y0, D;
    if (!b) {
        x = 1;
        y = 0;
        return a;
    }
    D = gcd(b, a % b, X0, Y0);
    x = Y0;
    y = X0 - (a / b) * Y0;
    return D;
}
 
int main() {
    freopen("euclid3.in", "r", stdin);
    freopen("euclid3.out", "w", stdout);
	scanf("%ld", &t);
    while (t--) {
        scanf("%ld %ld %ld", &a, &b, &c);
        d = gcd(a, b, x, y);
        if (c % d) {
			printf("0 0\n");
		} else {
			printf("%ld %ld\n", x * (c / d), y * (c / d));
		}
    }
    return 0;
}