You are given an array of positive integers nums and an integer k.
You may perform at most k operations. In each operation, you can choose one element in the array and double its value. Each element can be doubled at most once.
The score of a contiguous subarray is defined as the product of its length and the greatest common divisor (GCD) of all its elements.
\n\nYour task is to return the maximum score that can be achieved by selecting a contiguous subarray from the modified array.
\n\nNote:
\n\n\n
Example 1:
\n\nInput: nums = [2,4], k = 1
\n\nOutput: 8
\n\nExplanation:
\n\nnums[0] to 4 using one operation. The modified array becomes [4, 4].[4, 4] is 4, and the length is 2.2 × 4 = 8.Example 2:
\n\nInput: nums = [3,5,7], k = 2
\n\nOutput: 14
\n\nExplanation:
\n\nnums[2] to 14 using one operation. The modified array becomes [3, 5, 14].[14] is 14, and the length is 1.1 × 14 = 14.Example 3:
\n\nInput: nums = [5,5,5], k = 1
\n\nOutput: 15
\n\nExplanation:
\n\n[5, 5, 5] has a GCD of 5, and its length is 3.3 × 5 = 15.\n
Constraints:
\n\n1 <= n == nums.length <= 15001 <= nums[i] <= 1091 <= k <= n给你一个正整数数组 nums 和一个整数 k。
你最多可以执行 k 次操作。在每次操作中，你可以选择数组中的一个元素并将其值 翻倍 。每个元素 最多 只能翻倍一次。
连续 子数组 的 分数 定义为其所有元素的最大公约数 (GCD) 与子数组长度的 乘积 。
\n\n你的任务是返回修改后数组中选择一个连续子数组可以获得的最大 分数 。
\n\n注意：
\n\n\n\n
示例 1:
\n\n输入: nums = [2,4], k = 1
\n\n输出: 8
\n\n解释:
\n\nnums[0] 翻倍到 4。修改后的数组变为 [4, 4]。[4, 4] 的 GCD 是 4，长度是 2。2 × 4 = 8。示例 2:
\n\n输入: nums = [3,5,7], k = 2
\n\n输出: 14
\n\n解释:
\n\nnums[2] 翻倍到 14。修改后的数组变为 [3, 5, 14]。[14] 的 GCD 是 14，长度是 1。1 × 14 = 14。示例 3:
\n\n输入: nums = [5,5,5], k = 1
\n\n输出: 15
\n\n解释:
\n\n[5, 5, 5] 的 GCD 是 5，长度是 3。3 × 5 = 15。\n
提示：
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