找出自然数中第 n 个质因子中只含 2,3,5,7 的数。
/*纯模拟*/
#include <cstdio>
#include <cstring>
#include <algorithm>
using namespace std;
const int MAX_N = 6000;
int n;
long long f[MAX_N];
void doit()
{
f[1] = 1; f[2] = 2; f[3] = 3;
for(int i = 4; i <= 5843; i ++){
long long p1 = 0x7fffffff;
for(int j = 1; j <= i - 1; j ++){
if(f[j] * 2 > f[i - 1]) p1 = min(f[j] * 2, p1);
if(f[j] * 3 > f[i - 1]) p1 = min(f[j] * 3, p1);
if(f[j] * 5 > f[i - 1]) p1 = min(f[j] * 5, p1);
if(f[j] * 7 > f[i - 1]) p1 = min(f[j] * 7, p1);
}
f[i] = p1;
}
}
int main()
{
doit();
while(scanf("%d", &n) != EOF){
if(n == 0) break;
if(n % 10 == 1 && n % 100 != 11) printf("The %dst humble number is %lld.\n", n, f[n]);
else if(n % 10 == 2 && n % 100 != 12) printf("The %dnd humble number is %lld.\n", n, f[n]);
else if(n % 10 == 3 && n % 100 != 13) printf("The %drd humble number is %lld.\n", n, f[n]);
else printf("The %dth humble number is %lld.\n", n, f[n]);
}
return 0;
}