Power Strings
Time Limit: 3000MS | Memory Limit: 65536K | |
Total Submissions: 29067 | Accepted: 12143 |
Description
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).
Input
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.
Output
For each s you should print the largest n such that s = a^n for some string a.
Sample Input
abcd aaaa ababab .
Sample Output
1 4 3
已知一个字符串由多个子串重复若干次得到,求最大的重复次数,
思路:可以用kmp,也可以用后缀数组,后缀数组以后实现,kmp根据next数组可以得到循环节,进而可以得到重复次数。
代码:
/* *********************************************** Author :xianxingwuguan Created Time :2014-1-29 18:06:17 File Name :4.cpp ************************************************ */ #pragma comment(linker, "/STACK:102400000,102400000") #include <stdio.h> #include <string.h> #include <iostream> #include <algorithm> #include <vector> #include <queue> #include <set> #include <map> #include <string> #include <math.h> #include <stdlib.h> #include <time.h> using namespace std; const int maxn=1002000; char str[maxn]; int next[maxn]; int get_next(char *str) { int j=0,k=-1; int len=strlen(str); next[0]=-1; while(j<len) { if(k==-1||str[j]==str[k]) next[++j]=++k; else k=next[k]; } j=len-k; if(len%j==0) return len/j; return 1; } int main() { //freopen("data.in","r",stdin); //freopen("data.out","w",stdout); while(~scanf("%s",str)&&str[0]!=‘.‘)printf("%d\n",get_next(str)); return 0; }