Periodic Strings UVA - 455
2018-02-04 12:49
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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
#include<iostream> #include<string> #include<cstdio> #include<cstring> #include<cmath> #include<algorithm> #include<queue> #include<stack> #include<map> #include<iomanip> //#define ll long long using namespace std; const int maxn = 10000; string s; bool test(int l){ for(int i = l; i < s.length(); i+=l) { for(int j = 0; j < l; j++) if(s[j]!=s[j+i]) return false; } return true; } int Find() { int l = 0,ll = s.length(); for(int i = 1; i <= ll; i++){ if(ll%i != 0) continue; if(test(i)) { l = i; break; } } return l; } int main(){ int t; scanf("%d",&t); while(t--){ cin>>s; printf("%d\n",Find()); if(t!=0) cout << endl; } return 0; }
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