LeetCode 2941: Maximum GCD-Sum of a Subarray Solution

Master LeetCode problem 2941 (Maximum GCD-Sum of a Subarray), a hard challenge, with our optimized solutions in Java, C++, and Python. Explore detailed explanations, test your code in our interactive editor, and prepare for coding interviews.

2941. Maximum GCD-Sum of a Subarray

Problem Explanation

Explanation:

The problem asks us to find the maximum possible GCD (Greatest Common Divisor) of a subarray from the given array. We need to find a subarray such that the sum of elements in the subarray is maximum while ensuring the GCD of the subarray is also maximum.

To solve this problem, we can iterate over all possible subarrays and calculate the GCD of each subarray. We can then find the maximum GCD among all subarrays and return it as the result.

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Solution Code

public int maxGCDSum(int[] nums) {
    int maxGCD = 0;
    for (int i = 0; i < nums.length; i++) {
        int sum = 0;
        for (int j = i; j < nums.length; j++) {
            sum += nums[j];
            maxGCD = Math.max(maxGCD, gcd(sum, nums[j]));
        }
    }
    return maxGCD;
}

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

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