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  • LeetCode: 492 Construct the Rectangle(easy)

    题目:

    or 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:

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

    代码:

    思路:求0到平方根范围内的最大因子。

     1 class Solution {
     2 public:
     3     vector<int> constructRectangle(int area) {
     4         int j = sqrt(area);
     5         for (j; j>0; j--){
     6             if (area%j == 0)
     7                 break;
     8         }
     9         vector<int> result = {area/j, j};
    10         return result;
    11     }
    12 };

    别人的:

    1 class Solution {
    2 public:
    3     vector<int> constructRectangle(int area) {
    4         int w = sqrt(area);
    5         while (area % w) w--;
    6         return vector<int>({area/w, w});
    7     }
    8 };
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  • 原文地址:https://www.cnblogs.com/llxblogs/p/7483274.html
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