{ "data": { "question": { "questionId": "1326", "questionFrontendId": "1862", "categoryTitle": "Algorithms", "boundTopicId": 772200, "title": "Sum of Floored Pairs", "titleSlug": "sum-of-floored-pairs", "content": "

Given an integer array nums, return the sum of floor(nums[i] / nums[j]) for all pairs of indices 0 <= i, j < nums.length in the array. Since the answer may be too large, return it modulo 109 + 7.

\n\n

The floor() function returns the integer part of the division.

\n\n

 

\n

Example 1:

\n\n
\nInput: nums = [2,5,9]\nOutput: 10\nExplanation:\nfloor(2 / 5) = floor(2 / 9) = floor(5 / 9) = 0\nfloor(2 / 2) = floor(5 / 5) = floor(9 / 9) = 1\nfloor(5 / 2) = 2\nfloor(9 / 2) = 4\nfloor(9 / 5) = 1\nWe calculate the floor of the division for every pair of indices in the array then sum them up.\n
\n\n

Example 2:

\n\n
\nInput: nums = [7,7,7,7,7,7,7]\nOutput: 49\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "向下取整数对和", "translatedContent": "

给你一个整数数组 nums ,请你返回所有下标对 0 <= i, j < nums.length 的 floor(nums[i] / nums[j]) 结果之和。由于答案可能会很大,请你返回答案对109 + 7 取余 的结果。

\n\n

函数 floor() 返回输入数字的整数部分。

\n\n

 

\n\n

示例 1:

\n\n
输入:nums = [2,5,9]\n输出:10\n解释:\nfloor(2 / 5) = floor(2 / 9) = floor(5 / 9) = 0\nfloor(2 / 2) = floor(5 / 5) = floor(9 / 9) = 1\nfloor(5 / 2) = 2\nfloor(9 / 2) = 4\nfloor(9 / 5) = 1\n我们计算每一个数对商向下取整的结果并求和得到 10 。\n
\n\n

示例 2:

\n\n
输入:nums = [7,7,7,7,7,7,7]\n输出:49\n
\n\n

 

\n\n

提示:

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