HDU 5108Alexandra and Prime Numbers(大素數)
Problem Description
Alexandra has a little brother. He is new to programming. One day he is solving the following problem: Given an positive integer N, judge whether N is prime.
The problem above is quite easy, so Alexandra gave him a new task: Given a positive integer N, find the minimal positive integer M, such that N/M is prime. If such M doesn't exist, output 0.
Help him!
Input
There are multiple test cases (no more than 1,000). Each case contains only one positive integer N.
N≤1,000,000,000.
Number of cases with
N>1,000,000
is no more than 100.
Output
For each case, output the requested M, Z喎?http://www.Bkjia.com/kf/ware/vc/" target="_blank" class="keylink">vciBvdXRwdXQgMCBpZiBubyBzb2x1dGlvbiBleGlzdHMuCiAKPGJyPgpTYW1wbGUgSW5wdXQKCjxwcmUgY2xhc3M9"brush:java;">3
4
5
6
Sample Output
1
2
1
2
對於此題,我只想說自己好傻的,對於一個大數n,求最小的m是的n/m是素數
首先 n=素數*素數*素數......
那麼我們求最大的素數,還有這個素數中不可能有兩個大於sqrt(n)的,那麼代碼如下
#include
#include
#include
#include
#include
#include
#define L(x) (x<<1)
#define R(x) (x<<1|1)
#define MID(x,y) ((x+y)>>1)
using namespace std;
typedef __int64 ll;
#define N 100000
ll a[N],b[N];
ll k;
void inset()
{
int i,j;
a[0]=1;
for(i=2;i1;m--)
if(n%m==0)
{
while(n%m==0&&!a[m])
n/=m;
if(!a[m])
{
ans=max(ans,m);
}
}
ans=(ll)max(ans,n);
printf("%I64d\n",temp/ans);
}
return 0;
}