{ "data": { "question": { "questionId": "2557", "questionFrontendId": "2470", "categoryTitle": "Algorithms", "boundTopicId": 1962148, "title": "Number of Subarrays With LCM Equal to K", "titleSlug": "number-of-subarrays-with-lcm-equal-to-k", "content": "

Given an integer array nums and an integer k, return the number of subarrays of nums where the least common multiple of the subarray's elements is k.

\n\n

A subarray is a contiguous non-empty sequence of elements within an array.

\n\n

The least common multiple of an array is the smallest positive integer that is divisible by all the array elements.

\n\n

 

\n

Example 1:

\n\n
\nInput: nums = [3,6,2,7,1], k = 6\nOutput: 4\nExplanation: The subarrays of nums where 6 is the least common multiple of all the subarray's elements are:\n- [3,6,2,7,1]\n- [3,6,2,7,1]\n- [3,6,2,7,1]\n- [3,6,2,7,1]\n
\n\n

Example 2:

\n\n
\nInput: nums = [3], k = 2\nOutput: 0\nExplanation: There are no subarrays of nums where 2 is the least common multiple of all the subarray's elements.\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "最小公倍数等于 K 的子数组数目", "translatedContent": "

给你一个整数数组 nums 和一个整数 k ,请你统计并返回 nums子数组 中满足 元素最小公倍数为 k 的子数组数目。

\n\n

子数组 是数组中一个连续非空的元素序列。

\n\n

数组的最小公倍数 是可被所有数组元素整除的最小正整数。

\n\n

 

\n\n

示例 1 :

\n\n
输入:nums = [3,6,2,7,1], k = 6\n输出:4\n解释:以 6 为最小公倍数的子数组是:\n- [3,6,2,7,1]\n- [3,6,2,7,1]\n- [3,6,2,7,1]\n- [3,6,2,7,1]\n
\n\n

示例 2 :

\n\n
输入:nums = [3], k = 2\n输出:0\n解释:不存在以 2 为最小公倍数的子数组。\n
\n\n

 

\n\n

提示:

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