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Solution: Greatest Common Divisor of Strings

Understand how to identify the largest string that divides two given strings by applying string concatenation properties and the Euclidean algorithm. Learn to verify repeating patterns and compute the greatest common divisor (GCD) to solve the problem efficiently.

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