leetcode 492. Construct the Rectangle 构造长宽比最小的长方形

柔情只为你懂 2022-06-03 00:18 114阅读 0赞

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

本题题意很简单，直接从sqrt(n)开始递减遍历即可，遇到满足的情况直接返回即可

代码如下：

#include <iostream>
    #include <vector>
    #include <map>
    #include <unordered_map>
    #include <set>
    #include <unordered_set>
    #include <queue>
    #include <stack>
    #include <string>
    #include <climits>
    #include <algorithm>
    #include <sstream>
    #include <functional>
    #include <bitset>
    #include <numeric>
    #include <cmath>
    #include <regex>
    #include <iomanip>
    
    using namespace std;
    
    class Solution {
    public:
        vector<int> constructRectangle(int area) {
            vector<int> res(2, 0);
            for (int i = sqrt(area); i >= 1; i--)
            {
                if (area%i == 0)
                {
                    res[0] = max(i, area / i);
                    res[1] = min(i, area / i);
                    break;
                }
            }
            return res;
        }
    };