Skip to content

1071. Greatest Common Divisor of Strings

Description

For two strings s and t, we say "t divides s" if and only if s = t + t + t + ... + t + t (i.e., t is concatenated with itself one or more times).

Given two strings str1 and str2, return the largest string x such that x divides both str1 and str2.

 

Example 1:

Input: str1 = "ABCABC", str2 = "ABC"
Output: "ABC"

Example 2:

Input: str1 = "ABABAB", str2 = "ABAB"
Output: "AB"

Example 3:

Input: str1 = "LEET", str2 = "CODE"
Output: ""

 

Constraints:

  • 1 <= str1.length, str2.length <= 1000
  • str1 and str2 consist of English uppercase letters.

Solutions

Solution 1

 1
 2
 3
 4
 5
 6
 7
 8
 9
10
11
12
13
class Solution:
    def gcdOfStrings(self, str1: str, str2: str) -> str:
        def check(a, b):
            c = ""
            while len(c) < len(b):
                c += a
            return c == b

        for i in range(min(len(str1), len(str2)), 0, -1):
            t = str1[:i]
            if check(t, str1) and check(t, str2):
                return t
        return ''

 1
 2
 3
 4
 5
 6
 7
 8
 9
10
11
12
13
class Solution {
    public String gcdOfStrings(String str1, String str2) {
        if (!(str1 + str2).equals(str2 + str1)) {
            return "";
        }
        int len = gcd(str1.length(), str2.length());
        return str1.substring(0, len);
    }

    private int gcd(int a, int b) {
        return b == 0 ? a : gcd(b, a % b);
    }
}

1
2
3
4
5
6
7
8
class Solution {
public:
    string gcdOfStrings(string str1, string str2) {
        if (str1 + str2 != str2 + str1) return "";
        int n = __gcd(str1.size(), str2.size());
        return str1.substr(0, n);
    }
};

 1
 2
 3
 4
 5
 6
 7
 8
 9
10
11
12
13
14
func gcdOfStrings(str1 string, str2 string) string {
    if str1+str2 != str2+str1 {
        return ""
    }
    n := gcd(len(str1), len(str2))
    return str1[:n]
}

func gcd(a, b int) int {
    if b == 0 {
        return a
    }
    return gcd(b, a%b)
}

 1
 2
 3
 4
 5
 6
 7
 8
 9
10
11
12
13
14
15
16
impl Solution {
    pub fn gcd_of_strings(str1: String, str2: String) -> String {
        if str1.clone() + &str2 != str2.clone() + &str1 {
            return String::from("");
        }
        fn gcd(a: usize, b: usize) -> usize {
            if b == 0 {
                return a;
            }
            gcd(b, a % b)
        }

        let (m, n) = (str1.len().max(str2.len()), str1.len().min(str2.len()));
        str1[..gcd(m, n)].to_string()
    }
}

Solution 2

1
2
3
4
5
6
class Solution:
    def gcdOfStrings(self, str1: str, str2: str) -> str:
        if str1 + str2 != str2 + str1:
            return ''
        n = gcd(len(str1), len(str2))
        return str1[:n]

Comments