492. Construct the Rectangle

Easy
A web developer needs 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. 1.
    The area of the rectangular web page you designed must equal to the given target area.
  2. 2.
    The width W should not be larger than the length L, which means L >= W.
  3. 3.
    The difference between length L and width W should be as small as possible.
Return an array [L, W] where L and W are the length and width of the web page you designed in sequence.
Example 1:
Input: area = 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.
Example 2:
Input: area = 37
Output: [37,1]
Example 3:
Input: area = 122122
Output: [427,286]
Constraints:
  • 1 <= area <= 10^7

解題

func constructRectangle(area int) []int {
for i:= int(math.Sqrt(float64(arcea))); i>=1; i-- {
if i * int(area/i) == area {
ans := []int{i, int(area/i)}
if ans[1] > ans[0] {
ans[0], ans[1] = ans[1], ans[0]
}
return ans
}
}
​
return []int{}
}