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Solution: Greatest Common Divisor of Strings

Understand how to determine the greatest common divisor string of two input strings by using string concatenation and the Euclidean algorithm. Explore the core idea that if two strings share a repeating base pattern, their concatenations will be equal. Learn to efficiently compute the gcd of their lengths and extract the common divisor substring, enhancing your problem-solving skills with string and math patterns.

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