Cod sursa(job #1453325)

Utilizator StarGold2Emanuel Nrx StarGold2 Data 23 iunie 2015 11:42:03
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 0.74 kb
#include <cstdio>
using namespace std;

int T;

inline int gcd(int A, int B, int &X, int &Y){
    if(B == 0){
        X = 1;
        Y = 0;
        return A;
    }
    if(B != 0){
        int X0, Y0, D;

        D = gcd(B, A % B, X0, Y0);

        X = Y0;
        Y = X0 - (A / B) * Y0;
        return D;
    }
    return 0;
}

int main(){

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

    scanf("%d", &T);

    for(T = T; T; T --){
        int A, B, C, D, X, Y;
        scanf("%d %d %d", &A, &B, &C);

        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;
}