Cod sursa(job #2724068)

Utilizator avtobusAvtobus avtobus Data 16 martie 2021 13:04:17
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.84 kb
#include <stdio.h>
#include <bits/stdc++.h>

#define rep(i, n) for(int i = 0; i < (int)(n); i++)

using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
typedef vector<int> vi;
const int INF = 0x3f3f3f3f;

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

int ext_gcd(int a, int b, int &x, int &y) {
  if (b == 0) {
    x = 1;
    y = 0;
    return a;
  }
  int x1, y1, q = a/b;
  int d = ext_gcd(b, a - b*q, x1, y1);
  x = y1;
  y = x1 - y1*q;
  return d;
}

int main(void) {
  // freopen("euclid3.in", "r", stdin);
  std::ios_base::sync_with_stdio(false);
  std::cin.tie(NULL);
  int T,a,b,c,d;
  fin >> T;
  while(T--) {
    fin >> a >> b >> c;

    int x, y;
    d = ext_gcd(a, b, x, y);

    if (c % d == 0) {
      fout << (c / d) * x << ' ' << (c /d) * y << '\n';
    } else {
      fout << "0 0\n";
    }
  }

  return 0;
}