Cod sursa(job #3148293)

Utilizator andreea678Rusu Andreea-Cristina andreea678 Data 30 august 2023 19:08:46
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.83 kb
#include <iostream>
#include <fstream>
using namespace std;
ifstream fin("euclid3.in");
ofstream fout("euclid3.out");
pair<int,int> cmmdc (int a, int b) {
    if (b==0) {
        return make_pair(1, 0);
    }
    pair<int,int> p=cmmdc(b, a%b); //x1-p.first; y1-p.second
    int c=a/b;
    return make_pair(p.second,p.first-c*p.second);
}
int cmmdcnor(int a, int b) {
    if (b==0) {
        return a;
    }
    return cmmdcnor(b, a%b);
}
int main()
{
    int a, b, c, n;
    fin >> n;
    for (int i=1; i<=n; ++i) {
        fin >> a >> b >> c;
        int d=cmmdcnor(a,b);
        if (c%d!=0) {
            fout << 0 << ' ' << 0 <<'\n';
        }
        else {
            pair<int,int> rasp = cmmdc(a,b);
            fout << (c/d)*rasp.first << ' ' << (c/d)*rasp.second << '\n';
        }
    }

    return 0;
}