Periodic Strings（周期串）

Posted 2020-10-01 糖小俊

A character string is said to have period k if it can be formed by concatenating one or more repetitions of another string of length k. For example, the string "abcabcabcabc" has period 3, since it is formed by 4 repetitions of the string "abc". It also has periods 6 (two repetitions of "abcabc") and 12 (one repetition of "abcabcabcabc").

 

Write a program to read a character string and determine its smallest period.

 

Input

The first line oif the input file will contain a single integer N indicating how many test case that your program will test followed by a blank line. Each test case will contain a single character string of up to 80 non-blank characters. Two consecutive input will separated by a blank line.

 

Output

An integer denoting the smallest period of the input string for each input. Two consecutive output are separated by a blank line.

 

Sample Input

 

1

HoHoHo

Sample Output

2
如果一个字符串可以由某个长度为k的字符串重复多次得到，则称该串以k为周期。例如，abcabcabc以3为周期（注意，它也以6和9为周期）
输入一个长度不超过80的字符串，输出其最小周期。

#include<stdio.h>
#include<string.h>
char s[100];
int main()
{
    int t,ok;
    scanf("%d",&t);    
    while(t--){
        scanf("%s",s);
        int n=strlen(s);
        for(int i=1;i<=n;i++){ //周期
            if(n%i==0){  //周期必须能够整除字符串长度，如ababab的周期为2，字符串长度为6,6%2=0，或者abcd的周期为4，字符串长度为4，4%4=0;
                ok=true;
                for(int j=i;j<n;j++){
                if(s[j]!=s[j%i]){ //根据周期比较字符串
                 ok=false; 
                 break;
                }
            }
            if(ok){
                printf("%d\n",i);
                break;
               }
            }
        }
        if(t!=0)
            printf("\n");
    }
    return 0;
}