2 条题解
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1
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
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