题目描述
对于任何正整数x,其约数的个数记作g(x)。例如g(1)=1、g(6)=4。
如果某个正整数x满足:g(x)>g(i) 0<i<x,则称x为反质数。例如,整数1,2,4,6等都是反质数。
现在给定一个数N,你能求出不超过N的最大的反质数么?
输入格式:
一个数N(1<=N<=2,000,000,000)。
输出格式:
不超过N的最大的反质数。
输入样例#1:
1000
输出样例#1:
840
题解:
打表
#include<iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
#include<map>
using namespace std;
int num[500]={1,2,4,6,12,24,36,48,60,120,180,240,360,720,840,1260,1680,2520,5040,7560,10080,15120,20160,25200,27720,45360,50400,55440,83160,110880,166320,221760,277200,332640,498960,554400,665280,720720,1081080,1441440,2162160,2882880,3603600,4324320,6486480,7207200,8648640,10810800,14414400,17297280,21621600,32432400,36756720,43243200,61261200,73513440,110270160,122522400,147026880,183783600,245044800,294053760,367567200,551350800,698377680,735134400,1102701600,1396755360,2001000000};
int main()
{
int n;
cin >> n;
for (int i = 1; ; i++)
{
if (num[i] > n)
{
cout << num[i-1];
break;
}
}
return 0;
}