Cod sursa(job #2334397)

Utilizator IOI_MDA_003Sebastian Chicu IOI_MDA_003 Data 2 februarie 2019 16:37:02
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.66 kb
#include <iostream>
#include <fstream>

using namespace std;

ifstream fin ("euclid3.in");
ofstream fout("euclid3.out");

int t;

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;
}

int main(){
    fin >> t;
    while(t--){
        int a, b, c;
        fin >> a >> b >> c;
        int x, y;
        int d = gcd(a, b, x, y);
        if(c % d != 0)
            fout << "0 0\n";
        else{
            fout << x * (c/d) << " " << y * (c/d) << "\n";
        }
    }
    return 0;
}
// român convertit la moldovenism