{ "data": { "question": { "questionId": "2301", "questionFrontendId": "2183", "categoryTitle": "Algorithms", "boundTopicId": 1274495, "title": "Count Array Pairs Divisible by K", "titleSlug": "count-array-pairs-divisible-by-k", "content": "

Given a 0-indexed integer array nums of length n and an integer k, return the number of pairs (i, j) such that:

\n\n\n\n

 

\n

Example 1:

\n\n
\nInput: nums = [1,2,3,4,5], k = 2\nOutput: 7\nExplanation: \nThe 7 pairs of indices whose corresponding products are divisible by 2 are\n(0, 1), (0, 3), (1, 2), (1, 3), (1, 4), (2, 3), and (3, 4).\nTheir products are 2, 4, 6, 8, 10, 12, and 20 respectively.\nOther pairs such as (0, 2) and (2, 4) have products 3 and 15 respectively, which are not divisible by 2.    \n
\n\n

Example 2:

\n\n
\nInput: nums = [1,2,3,4], k = 5\nOutput: 0\nExplanation: There does not exist any pair of indices whose corresponding product is divisible by 5.\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "统计可以被 K 整除的下标对数目", "translatedContent": "

给你一个下标从 0 开始、长度为 n 的整数数组 nums 和一个整数 k ，返回满足下述条件的下标对 (i, j) 的数目：

\n\n\n\n

 

\n\n

示例 1：

\n\n
输入：nums = [1,2,3,4,5], k = 2\n输出：7\n解释：\n共有 7 对下标的对应积可以被 2 整除：\n(0, 1)、(0, 3)、(1, 2)、(1, 3)、(1, 4)、(2, 3) 和 (3, 4)\n它们的积分别是 2、4、6、8、10、12 和 20 。\n其他下标对，例如 (0, 2) 和 (2, 4) 的乘积分别是 3 和 15 ，都无法被 2 整除。    \n
\n\n

示例 2：

\n\n
输入：nums = [1,2,3,4], k = 5\n输出：0\n解释：不存在对应积可以被 5 整除的下标对。\n
\n\n

 

\n\n

提示：

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