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  • LeetCode——Construct the Rectangle

    LeetCode——Construct the Rectangle

    Question

    For a web developer, it is very important to know how to design a web page's size. So, given a specific rectangular web page’s area, your job by now is to design a rectangular web page, whose length L and width W satisfy the following requirements:

    1. The area of the rectangular web page you designed must equal to the given target area.

    2. The width W should not be larger than the length L, which means L >= W.

    3. The difference between length L and width W should be as small as possible.
      You need to output the length L and the width W of the web page you designed in sequence.

    Example:
    Input: 4
    Output: [2, 2]
    Explanation: The target area is 4, and all the possible ways to construct it are [1,4], [2,2], [4,1].
    But according to requirement 2, [1,4] is illegal; according to requirement 3, [4,1] is not optimal compared to [2,2]. So the length L is 2, and the width W is 2.

    Note:
    The given area won't exceed 10,000,000 and is a positive integer
    The web page's width and length you designed must be positive integers.

    Solution

    技巧就是用平方去逼近面积值,但是又必须找到能整除的值。

    Answer

    class Solution {
    public:
        vector<int> constructRectangle(int area) {
            int w = area;
            for (int i = 1; i * i <= area; i++) {
                if (area % i == 0)
                    w = i;
            }
            return vector<int>{area / w, w};
        }
    };
    
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  • 原文地址:https://www.cnblogs.com/zhonghuasong/p/6661606.html
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