Cod sursa(job #2737284)

Utilizator bogdanvladmihaiBogdan Vlad-Mihai bogdanvladmihai Data 4 aprilie 2021 17:04:46
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.66 kb
#include <bits/stdc++.h>

using namespace std;

#define debug(x) cerr << #x << " = " << x << "\n";

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

int t;

int a, b, d;

void gcd(int a, int b, int &x, int &y) {
  int x0, y0;
  if (b == 0) {
    x = 1;
    y = 0;
    return;
  }
  gcd(b, a % b, x0, y0);
  x = y0;
  y = x0 - (a / b) * y0;
}

int main() {
  in >> t;
  for (int tt = 0; tt < t; tt++) {
    in >> a >> b >> d;
    if (d % __gcd(a, b) == 0) {
      int x, y;
      gcd(a, b, x, y);
      out << (d / __gcd(a, b)) * x << " " << (d / __gcd(a, b)) * y << "\n";
    } else {
      out << "0 0\n";
    }
  }
  return 0;
}