Cod sursa(job #2890840)

Utilizator MihaiZ777MihaiZ MihaiZ777 Data 16 aprilie 2022 20:08:41
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.73 kb
#include <fstream>
#include <iostream>
using namespace std;

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


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() {
    int t;
    fin >> t;

    while (t--) {
        int a, b, c;
        fin >> a >> b >> c;

        int x, y, d;
        d = GCD(a, b, x, y);
        
        if (c % d)
        {
            fout << 0 << ' ' << 0 << '\n';
        }
        else
        {
            fout << x * (c / d) << ' ' << y * (c / d) << '\n';
        }
    }
}