UVA - 455

Periodic Strings
Time Limit:3000MS   Memory Limit:Unknown   64bit IO Format:%lld & %llu

Status

Description

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 Periodic Strings 

A character string is said to have period k if it can be formed by concatenating one or more repetitions of another string of lengthk. 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

 

1.枚举字符串长度的约数i，判断是否为周期

2.若是，输出i；否则i++，继续判断

本题输出格式比较坑

 1 #include <iostream>
 2 #include <cstring>
 3 
 4 using namespace std;
 5 
 6 int period(int p, int n, char* a)
 7 {                   //判断周期
 8     for(int i = 0; i < n - p; i++)
 9     {
10         if(a[i] != a[i+p])
11             return 0;          //不是周期，返回0
12     }
13     return p;
14 }
15 int main()
16 {
17     int num,first = 0;
18     char a[110];
19     cin >> num;
20        
21     while(num--)
22     {
23         cin >> a;
24       int len = strlen(a), p = 0;
25       for(int i = 1; i <= len; i++)
26       {
27         if(len%i == 0)
28         {p = i;
29         if(period(p,len,a))
30             break;
31         }
32       }
33       if(first) cout << endl << p << endl; 
34       else
35       {cout << p << endl;first =1;}
36     }
37     return 0;
38 }