UVa 10139 - Factovisors

/*************************************************************************
> File Name: 10139.cpp
> Author: Toy
> Mail: ycsgldy@163.com
> Created Time: 2013年06月07日 星期五 22时35分00秒
************************************************************************/

#include <algorithm>
#include <iostream>
#include <iomanip>
#include <cstring>
#include <cstdlib>
#include <climits>
#include <sstream>
#include <fstream>
#include <cstdio>
#include <string>
#include <vector>
#include <queue>
#include <cmath>
#include <stack>
#include <map>
#include <set>

using namespace std;
const int INF = 0x7fffffff;
typedef pair<int,int> II;
typedef vector<int> IV;
typedef vector<II> IIV;
typedef vector<bool> BV;
typedef long long i64;
typedef unsigned long long u64;
typedef unsigned int u32;
#define For(t,v,c) for(t::const_iterator v=c.begin(); v!=c.end(); ++v)
#define IsComp(n) (_c[n>>6]&(1<<((n>>1)&31)))
#define SetComp(n) _c[n>>6]|=(1<<((n>>1)&31))
const int MAXP = 46341; //sqrt(2^31)
const int SQRP = 216; //sqrt(MAX)
int _c[(MAXP>>6)+1];
IV primes;
IIV opt;

void prime_sieve() {
for ( int i = 3; i <= SQRP; i += 2 )
if ( !IsComp(i) ) for ( int j = i*i; j <= MAXP; j+=i+i ) SetComp(j);
primes.push_back ( 2 );
for ( int i = 3; i <= MAXP; i += 2 ) if ( !IsComp(i) ) primes.push_back ( i );
}

void prime_factorize ( int n, IIV &f ) {
f.clear();
int sn = sqrt ( n );
For ( IV, it, primes ) {
int prime = *it;
if ( prime > sn ) break; if ( n % prime ) continue;
int e = 0; for ( ; n%prime == 0; e++, n/= prime );
f.push_back ( II(prime,e) );
sn = sqrt(n);
}
if ( n > 1 ) f.push_back( II(n,1) );
}

i64 get_powers ( int n, int p ) {
i64 res = 0; for ( i64 power = p; power <= n; power *= p ) res += n/power; return res;
}

int Case, num;

int main ( ) {
prime_sieve();
while ( scanf ( "%d%d", &Case, &num ) == 2 ) {
if ( num == 0 ) {
printf ( "%d does not divide %d!\n", num, Case );
continue;
}
bool flag = 1;
prime_factorize ( num, opt );
For ( IIV, it, opt ) {
i64 tmp = get_powers ( Case, it -> first );
if ( tmp < it -> second ) {
flag = 0;
break;
}
}
if ( flag ) printf ( "%d divides %d!\n", num, Case );
else printf ( "%d does not divide %d!\n", num, Case );
}
return 0;
}