Largest prime factor
Time Limit : 5000/1000ms (Java/Other) Memory Limit : 32768/32768K (Java/Other)
Total Submission(s) : 26 Accepted Submission(s) : 10
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Problem Description
Everybody knows any number can be combined by the prime number.
Now, your task is telling me what position of the largest prime factor.
The position of prime 2 is 1, prime 3 is 2, and prime 5 is 3, etc.
Specially, LPF(1) = 0.
Now, your task is telling me what position of the largest prime factor.
The position of prime 2 is 1, prime 3 is 2, and prime 5 is 3, etc.
Specially, LPF(1) = 0.
Input
Each line will contain one integer n(0 < n < 1000000).
Output
Output the LPF(n).
Sample Input
1 2 3 4 5
Sample Output
0 1 2 1 3
#include<cstdio>
#include<cstdlib>
#include<cstring>
#define maxn 1000000+5
using namespace std;
int isprime[maxn],a[maxn];
void countprime(){
int i,j,e=0;
for(i=2;i*i<maxn;++i){
if(isprime[i])continue;
for(j=i*i;j<maxn;j+=i)
isprime[j]=1;
}
}
void que(){
int i,j=1,e=1;
a[1]=0;
for(i=2;i<=maxn;++i){
if(!isprime[i]){
for(j=i;j<maxn;j+=i){
if(j%i==0&&j/i>i&&!isprime[j/i]);//房超时
else a[j]=e;
}
e=e+1;
}
}
}
int main()
{
countprime();
que();
int i,j,n;
while(scanf("%d",&n)!=EOF){
printf("%d\n",a[n]);
}
return 0;
}