Cod sursa(job #2280464)

Utilizator TooHappyMarchitan Teodor TooHappy Data 10 noiembrie 2018 17:43:02
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.77 kb
#include <bits/stdc++.h>
 
using namespace std;
 
ifstream in("euclid3.in");
ofstream out("euclid3.out");

void euclidExtins(int a, int b, int &d, int &x, int &y) {
    if(b == 0) {
        d = a;
        x = 1;
        y = 0;
    } else {
        int x0, y0;
        euclidExtins(b, a % b, d, x0, y0);

        x = y0;
        y = x0 - (a / b) * y0;
    }
}

int main() {
    ios::sync_with_stdio(false); in.tie(0); out.tie(0);

    int t; in >> t;

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

        int x, y, d;
        euclidExtins(a, b, d, x, y);

        if(c % d) {
            out << "0 0\n";
        } else {
            int alpha = c / d;

            out << alpha * x << " " << alpha * y << "\n";
        }
    }

    in.close(); out.close();
 
    return 0;
}