9.9 A

题目链接
https://vjudge.net/problem/10934/origin

For each prefix of a given string S with N characters (each character has an ASCII code between 97 and 126, inclusive), we want to know whether the prefix is a periodic string. That is, for each i (2 <= i <= N) we want to know the largest K > 1 (if there is one) such that the prefix of S with length i can be written as A K ,that is A concatenated K times, for some string A. Of course, we also want to know the period K.
Input
The input consists of several test cases. Each test case consists of two lines. The first one contains N (2 <= N <= 1 000 000) – the size of the string S.The second line contains the string S. The input file ends with a line, having the
number zero on it.
Output
For each test case, output “Test case #” and the consecutive test case number on a single line; then, for each prefix with length i that has a period K > 1, output the prefix size i and the period K separated by a single space; the prefix sizes must be in increasing order. Print a blank line after each test case.
Sample Input
3
aaa
12
aabaabaabaab
0
Sample Output
Test case #1
2 2
3 3

Test case #2
2 2
6 2
9 3
12 4

题目大意就是从T=2开始，到T=n，S【T】是否能由一个循环的子字符串组成，如果可以输出T以及子字符串的个数。
贴上代码。

#include<iostream>
#include<cstring>
#include<string>
#include<cstdio>
using namespace std;
char s[1000010];
int Next[1000010];
int n;
void SetNext()
{
    int i=0,j=-1;
    Next[0]=-1;
    while(i<n)
    {
        if(j==-1||s[i]==s[j])
        {
            i++; j++;
            Next[i]=j;
        }
        else
        j=Next[j];
    }
}

int main ()
{
	int t=1;
	while(cin>>n&&n)
	{
		scanf("%s",&s);
		SetNext();
    	cout<<"Test case #"<<t++<<endl;
    	for(int i=1;i<=n;i++)
    	{
    		int l=i-Next[i];
    		if(l!=i&&i%l==0)
    		{
    			cout<<i<<' '<<i/l<<endl;
			}
    		
		}
		cout<<endl;
	}
	
} 

先求next数组，如果i可以被i-next【i】整除，就说明S【i】是由长度为i-next【i】的子字符串组成。