Cod sursa(job #2874552)

Utilizator VespaOlaru Amelia Vespa Data 19 martie 2022 16:24:53
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.75 kb
#include <iostream>
#include <fstream>
#define ll long long
using namespace std;
ifstream fin("euclid3.in");
ofstream fout("euclid3.out");


void euclid(ll a,ll b,ll &d,ll &k,ll &l)
{
    if(b==0)
    {
        k=1;
        l=0;
        d=a;
        return;
    }
    ll k2,l2;///k prim si l prim
    euclid(b,a%b,d,k2,l2);
    k=l2;
    l=k2-(a/b)*l2;
}


int main()
{
    ///a*k+b*l = d, d=(a,b)
    ///k,l - coeficientii cautati (NU SUNT UNICI)
    ///(n am chef sa folosesc x si y)
    ll a,b,c,k,l,d,t;
    fin>>t;
    for(int i=0;i<t;i++)
    {
        fin>>a>>b>>c;
        euclid(a,b,d,k,l);
        if(c%d!=0)
            fout<<"0 0\n";
        else
        fout<<k*(c/d)<<" "<<l*(c/d)<<"\n";
    }

    return 0;
}