Power Strings

Posted 2022-02-11 yfr2zaz

问题 D: 4.5.17 Power Strings

时间限制: 3 Sec  内存限制: 64 MB
提交: 2995  解决: 921
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题目描述

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).

 

输入

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.

 

输出

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

 

样例输入

abcd
aaaa
ababab
.

样例输出

1
4
3
思路：
找到最小的重复序列
kmp中的next数组就是这个作用

#include  <cstdio>
#include <iostream>
#include <algorithm>
#include <string.h>
using namespace std;
int pext[1000000] = -5;
char s[1000000];
int len1;
void get_next(char *T,int *next)

    int k = -1;
    int j = 0;
    pext[j] = k;
    while(j < len1)
    
        if((k == -1) || (T[j] == T[k]))
        
            k++;
            j++;
            pext[j] = k;
        
        else
        
            k = pext[k];
        
    

 
int main()

    while(1)
    
        scanf("%s",s);
        if(strcmp(s,".") == 0)
        
            return 0;
        
        else
        
            int sum = 0;
            len1 = strlen(s);
            get_next(s,pext);
            int z; 
            z =  len1 - pext[len1];
            if(len1 % z ==0)
            
                for(int i=1;i<=len1;i++)
                
                    if(i%z==0)
                        sum++;    
                
                printf("%d\n",sum); 
            
            else
            
                printf("1\n");
            
        
    
    return 0;