Power Strings poj2406（神代码）

Power Strings

Time Limit: 3000MS		Memory Limit: 65536K
Total Submissions: 29402		Accepted: 12296

Description

Given two strings a and b we define a*b to be their concatenation. For example, if a = "abc" and b = "def" then a*b = "abcdef". If we think of concatenation as multiplication, exponentiation by a non-negative integer is defined in the normal way: a^0 = "" (the empty string) and a^(n+1) = a*(a^n).

Input

Each test case is a line of input representing s, a string of printable characters. The length of s will be at least 1 and will not exceed 1 million characters. A line containing a period follows the last test case.

Output

For each s you should print the largest n such that s = a^n for some string a.

Sample Input

abcd
aaaa
ababab
.

Sample Output

1
4
3

两种做法：

#include <iostream>
#include <stdio.h>
#include <string.h>
using namespace std;
char a[1100000];
int t;
int main()
{
    char x;
    while(1)
    {
        t=0;
        x=getchar();
        if(x=='.')break;
        while(1)
        {
            a[t++]=x;
            if(x=='
')break;
            x=getchar();
        }
        int p=1,k=1;
        t--;
        for(int i=0; i<t; i++)
        {
             if(a[i]==a[i%p])
             k++;
             else
             {
                 if(p==k)k++;
                 p=k;
             }
        }
        if(t%p==0)
        printf("%d
",t/p);
        else printf("1
");
    }
}

#include <iostream>
#include <stdio.h>
#include <string.h>
using namespace std;
char a[1100000];
int t,next[1100000];
void fun()
{
    next[0]=0;
    int i,j=0;
    for(i=1;i<t;i++)
    {
        while(j>0&&a[i]!=a[j])j=next[j-1];
        if(a[i]==a[j])j++;
        next[i]=j;
    }
}
int main()
{
    char x;
    while(1)
    {
        t=0;
        x=getchar();
        if(x=='.')break;
        while(1)
        {
            a[t++]=x;
            if(x=='
')break;
            x=getchar();
        }
        t--;
      fun();
      if(t%(t-next[t-1])==0)
      printf("%d
",t/(t-next[t-1]));
      else printf("1
");
    }
}