Cod sursa(job #2848054)

Utilizator poparobertpoparobert poparobert Data 12 februarie 2022 09:35:55
Problema Algoritmul lui Euclid extins Scor 0
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.41 kb
#include <iostream>

using namespace std;
int a,b,c,x,y,n,d;
int cmmdc(int a,int b)
{
    int r=a%b;
    while(r)
    {
        a=b;
        b=r;
        r=a%b;
    }
    return b;
}
void euclid (int a,int b,int &d,int &x,int &y)
{
    if(b==0)
    {
        d=a;
        x=1;
        y=0;
    }
    else
    {
        int x0,y0;
        euclid(b,a%b,d,x0,y0);
        x=y0;
        y=x0-(a/b)*y0;
    }
}
int main()
{
    cin>>n;
    for(int i=1;i<=n;i++)
    {
        cin>>a>>b>>c;
        d=cmmdc(a,b);
        if(c%d==0)
        {
            x=y=0;
            euclid(a,b,d,x,y);
            x*=c/d;
            y*=c/d;
            while(x>2000000000||y<-2000000000)
            {
                if(b>0)
                {
                    x-=b/d;
                    y+=a/d;
                }
                else
                {
                    x+=b/d;
                    y-=a/d;
                }
            }
            while(x<-2000000000||y>2000000000)
            {
                if(b>0)
                {
                    x+=b/d;
                    y-=a/d;
                }
                else
                {
                    x-=b/d;
                    y+=a/d;
                }
            }
            cout<<x<<' '<<y<<'\n';
        }
        else
        {
            cout<<0<<' '<<0<<'\n';
        }
    }
    return 0;
}