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Solution: Greatest Common Divisor of Strings

Explore how to determine the largest string dividing two given strings by verifying equal concatenations and computing the greatest common divisor of their lengths. Understand the algorithm to extract the base pattern that forms both strings, and analyze its time and space complexities for efficient problem solving.

Statement

For two strings s and t, we say that t divides s if and only if s can be formed by concatenating one or more copies of t together (i.e., s = t + t + ... + t).

Given two strings str1 and str2, return the largest string x such that x divides both str1 and str2. If no such string exists, return an empty string.

Constraints:

  • 11 \leq str1.length, str2.length 1000\leq 1000

  • str1 and str2 consist of English uppercase letters. ...

Solution