{ "data": { "question": { "questionId": "3947", "questionFrontendId": "3669", "categoryTitle": "Algorithms", "boundTopicId": 3767456, "title": "Balanced K-Factor Decomposition", "titleSlug": "balanced-k-factor-decomposition", "content": "

Given two integers n and k, split the number n into exactly k positive integers such that the product of these integers is equal to n.

\n\n

Return any one split in which the maximum difference between any two numbers is minimized. You may return the result in any order.

\n\n

 

\n

Example 1:

\n\n
\n

Input: n = 100, k = 2

\n\n

Output: [10,10]

\n\n

Explanation:

\n\n

The split [10, 10] yields 10 * 10 = 100 and a max-min difference of 0, which is minimal.

\n
\n\n

Example 2:

\n\n
\n

Input: n = 44, k = 3

\n\n

Output: [2,2,11]

\n\n

Explanation:

\n\n\n\n

Therefore, [2, 2, 11] is the optimal split with the smallest difference 9.

\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "K 因数分解", "translatedContent": "

给你两个整数 n 和 k，将数字 n 恰好分割成 k 个正整数，使得这些整数的 乘积 等于 n。

\n\n

返回一个分割方案，使得这些数字中 最大值 和 最小值 之间的 差值 最小化。结果可以以 任意顺序 返回。

\n\n

 

\n\n

示例 1：

\n\n
\n

输入：n = 100, k = 2

\n\n

输出：[10,10]

\n\n

解释：

\n\n

分割方案 [10, 10] 的结果是 10 * 10 = 100，且最大值与最小值的差值为 0，这是最小可能值。

\n
\n\n

示例 2：

\n\n
\n

输入：n = 44, k = 3

\n\n

输出：[2,2,11]

\n\n

解释：

\n\n\n\n

因此，[2, 2, 11] 是最优分割方案，其差值最小，为 9。

\n
\n\n

 

\n\n

提示：

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