51nod 1060 最复杂的数（数论，反素数）

Posted 2020-09-19 Gealo

题目链接：https://www.51nod.com/onlineJudge/questionCode.html#!problemId=1060

题解：可以去学习一下反素数。

#include <iostream>
#include <cstring>
#define inf 1000000000000000007
using namespace std;
typedef unsigned long long ull;
const int M = 1e6 + 10;
ull n , dp[M];
int prime[16] = {2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53};
void dfs(int deep , ull sum , int num) {
    dp[num] = min(dp[num] , sum);
    for(int i = 1 ; i <= 63 ; i++) {
        if(sum > 1e18 / prime[deep]) break;
        dfs(deep + 1 , sum * prime[deep] , num * (i + 1));
        sum *= prime[deep];
    }
}
int main() {
    int t;
    scanf("%d" , &t);
    for(int i = 0 ; i < M ; i++) dp[i] = -inf;
    dfs(0 , 1 , 1);
    while(t--) {
        scanf("%lld" , &n);
        int ans;
        for(int i = M - 1 ; i >= 1 ; i--) {
            if(dp[i] <= n && dp[i] != 0) {ans = i;  break;}
        }
        printf("%lld %d\n" , dp[ans] , ans);
    }
    return 0;
}