Cod sursa(job #3226814)

Utilizator alexddAlexandru Dima alexdd Data 22 aprilie 2024 20:47:46
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.75 kb
#include<bits/stdc++.h>
using namespace std;
ifstream fin("euclid3.in");
ofstream fout("euclid3.out");
void euclid(int a, int b, int&d, int&x, int&y)
{
    if(b==0)
    {
        d=a;
        x=1;
        y=0;
        return;
    }
    int x0,y0;
    euclid(b,a%b,d,x0,y0);
    x = y0;
    y = x0 - y0*(a/b);
}
signed main()
{
    int t,a,b,c;
    fin>>t;
    while(t--)
    {
        fin>>a>>b>>c;
        int gc = __gcd(a,b);
        if(c%gc==0)
        {
            int d,x,y;
            euclid(a,b,d,x,y);
            assert(d==gc);
            assert(a*x+b*y==gc);
            x *= c/gc;
            y *= c/gc;
            fout<<x<<" "<<y<<"\n";
        }
        else
            fout<<"0 0\n";
    }
    return 0;
}