题意:输出打印1到 2^64 - 1所有超级幂
如果一个数可以表示成两个或以上的数的幂,就是超级幂;
思路:所有数的合数次幂,都是超级幂;
AC代码:
#include<iostream>
#include<algorithm>
#include<string>
#include<sstream>
#include<set>
#include<vector>
#include<stack>
#include<map>
#include<queue>
#include<deque>
#include<cstdlib>
#include<cstdio>
#include<cstring>
#include<cmath>
#include<ctime>
#include<functional>
using namespace std;
#define ll long long
#define ull unsigned long long
using namespace std;
int prm[] = {2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61};//素数表 64以内
int vis[70];
int main() {
ull lim = ~0LL >> 1;//最大64位的边界
set<ull> s;
memset(vis, 0, sizeof(vis));
for(int i = 0; i < 18; i++) {
vis[prm[i]] = 1;
}
for(int i = 2; ; i++) {
int cnt = -1;
ull x = lim;
while(x) {
x /= i;
cnt++;
}
if(cnt < 4) {
break;
}
ull b = i;
for(int j = 2; j <= cnt; j++) {
b *= i;
if(!vis[j]) {
s.insert(b);
}
}
}
s.insert(1);
set<ull>::iterator it;
for(it = s.begin(); it != s.end(); it++) {
// cout<<*it<<endl;
printf("%llu\n",*it);
}
return 0;
}