Pagini recente » Cod sursa (job #2313413) | Cod sursa (job #1078858) | Cod sursa (job #3260525) | Cod sursa (job #1725026) | Cod sursa (job #1328960)
#include <fstream>
#include <algorithm>
#include <vector>
using namespace std;
ifstream cin("gfact.in");
ofstream cout("gfact.out");
struct STR {
int v,p;
};
STR pr[100001];
int P,Q;
int pr_ind;
void desc( int N ) {
int ind = 2;
while( N > 1 && ind*ind <= N ) {
int ok = 0;
while( N % ind == 0 ) {
ok++;
N/= ind;
}
if( ok ) {
pr[ ++pr_ind ].v = ind;
pr[ pr_ind ].p = ok;
}
++ind;
}
if( N > 1 ) {
pr[ ++pr_ind ].v = N;
pr[ pr_ind ].p = 1;
}
for( int i = 1; i <= pr_ind; ++i ) pr[i].p *= Q;
}
int last = 1000000;
long long VAL( long long v, long long pr ) {
long long ans = 0;
int cop = pr;
while( v/pr > 0 ) {
ans += v/pr;
pr*= cop;
}
return ans;
}
bool OK( int A ) {
bool ok = 1;
for( int i = 1; i <= pr_ind; ++i ) {
if( VAL( A,pr[i].v ) < Q ) {
ok = 0;
break;
}
}
return ok;
}
int BS( int st, int dr ) {
if( st > dr ) return last;
else {
int mid = (st+dr)/2;
if( OK(mid) ) {
last = mid;
return BS( st, mid-1 );
}
else {
return BS( mid+1, dr );
}
}
}
int main() {
cin >> P >> Q;
desc( P );
int Ans = BS( 1,1000000 );
cout << Ans << '\n';
return 0;
}