Cod sursa(job #2789958)

Utilizator vladutzu_finutzuVlad Cacenschi vladutzu_finutzu Data 28 octombrie 2021 11:38:40
Problema GFact Scor 90
Compilator cpp-64 Status done
Runda Arhiva de probleme Marime 1.14 kb
#include <fstream>
using namespace std;
ifstream f("gfact.in");
ofstream g("gfact.out");
int p, q;
long long x=1;
long long howMany(long long b, long long p)
{
    long long putere = p;
    long long cnt=0;
    
    while(putere <= b)
        cnt += b/putere, putere*=p;
    
    return cnt;
}

long long getSol(long long baza, long long puterea)
{
    long long l=1, r = 6 * x, mid, sol=0;
    
    while(l <= r)
    {
        mid = (l+r)/2;
        long long cnt = howMany(mid, baza);
        if(cnt < puterea)
            l = mid+1;
        else if(cnt == puterea)
            sol = mid, r=mid-1;
        
        else r=mid-1;
    }
    return sol;
}

int main() {
    f>>p>>q;
    
    for(int i=1; i<=13; i++)
        x*=10;
    
    long long exp=0;
    long long sol=0;
    while(p%2==0)
        p/=2, exp++;
    
    sol = max(sol, getSol(2, exp*q));
    
    for(long long i=3; i*i <= p; i+=2)
        if(p%i == 0)
        {
            exp=0;
            while(p%i==0)
                p/=i, exp++;
            sol = max(sol, getSol(i, exp*q));
        }
    
    if(p != 1)
        sol = max(sol, getSol(p, q));
    
    g<<sol<<'\n';
    
    return 0;
}