2 条题解

  • 1
    @ 2026-8-2 12:14:49

    暴力出奇迹,打表过样例

    现在是骗分时间

    我们注意到小于2e9的反素数为:

    1,2,4,6,12,24,36,48,60,120,180,240,360,720,840,1260,1680,2520,5040,7560,10080,15120,20160,25200,27720,45360,50400,55440,83160,110880,166320,221760,277200,332640,498960,554400,665280,720720,1081080,1441440,2162160,2882880,3603600,4324320,6486480,7207200,8648640,10810800,14414400,17297280,21621600,32432400,36756720,43243200,61261200,73513440,110270160,122522400,147026880,183783600,245044800,294053760,367567200,551350800,698377680,735134400,1102701600,1396755360

    因此我们可以写出AC代码:

    #include <bits/stdc++.h>
    using namespace std;
    int n,p[1145] = {0,1,2,4,6,12,24,36,48,60,120,180,240,360,720,840,1260,1680,2520,5040,7560,10080,15120,20160,25200,27720,45360,50400,55440,83160,110880,166320,221760,277200,332640,498960,554400,665280,720720,1081080,1441440,2162160,2882880,3603600,4324320,6486480,7207200,8648640,10810800,14414400,17297280,21621600,32432400,36756720,43243200,61261200,73513440,110270160,122522400,147026880,183783600,245044800,294053760,367567200,551350800,698377680,735134400,1102701600,1396755360};
    int main(){
    	cin >> n;
    	for(int i = 1 ; i <= 68 ; i++){
    		if(n < p[i]){
    			cout << p[i-1] << endl;
    			return 0;
    		}
    	}
    	cout << p[68] << endl;
    	return 0;
    }
    
    • 0
      @ 2021-8-7 21:30:13

      C++ :

      #include<iostream>
      #include<cstdio>
      #include<cstring>
      using namespace std;
      long long p[20]= {0,2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53};
      long long maxn=-1,ans=-1;
      long long n=0;
      void get(long long m,long long f,long long t,long long pr) {
          //f为当前质数的编号,当前指数<pr
      //t为当前约数的个数, m表示当前可能成为最优解的数
          if(t>maxn || (t==maxn && m<ans)) { //更新最优解
              ans=m,maxn=t;
          }
          long long i=m,j=0;
          long long nt=0;
          while(j<pr) { //j表示的是当前正在搜索的指数
              j++;
              if(n/i<p[f]) { //若不满足条件就跳出循环(i表示的是当前的m)
                  break;
              }
              nt=t*(j+1),i*=p[f];//更新新数以及它的因子个数。
              if(i<=n) { //若i(即当前的m)在区间[1,n]内就继续搜索。
                  get(i,f+1,nt,j);
              }
          }
      }
      int main() {
          scanf("%lld",&n);
          get(1,1,1,30);
          printf("%lld",ans);
          return 0;
      }
      
      • 1

      信息

      ID
      109
      时间
      1000ms
      内存
      128MiB
      难度
      1
      标签
      递交数
      77
      已通过
      58
      上传者