Class Solution


  • public class Solution
    extends Object
    1819 - Number of Different Subsequences GCDs.

    Hard

    You are given an array nums that consists of positive integers.

    The GCD of a sequence of numbers is defined as the greatest integer that divides all the numbers in the sequence evenly.

    • For example, the GCD of the sequence [4,6,16] is 2.

    A subsequence of an array is a sequence that can be formed by removing some elements (possibly none) of the array.

    • For example, [2,5,10] is a subsequence of [1,2,1, **2** ,4,1, **5** , **10** ].

    Return the number of different GCDs among all non-empty subsequences of nums.

    Example 1:

    Input: nums = [6,10,3]

    Output: 5

    Explanation: The figure shows all the non-empty subsequences and their GCDs. The different GCDs are 6, 10, 3, 2, and 1.

    Example 2:

    Input: nums = [5,15,40,5,6]

    Output: 7

    Constraints:

    • 1 <= nums.length <= 105
    • 1 <= nums[i] <= 2 * 105
    • Constructor Detail

      • Solution

        public Solution()
    • Method Detail

      • countDifferentSubsequenceGCDs

        public int countDifferentSubsequenceGCDs​(int[] nums)