Self Dividing Numbers

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A self-dividing number is a number that is divisible by every digit it

contains.

For example, 128 is a self-dividing number because 128 % 1 == 0, 128 % 2 == 0, and 128 % 8 == 0.

Also, a self-dividing number is not allowed to contain the digit zero.

Given a lower and upper number bound, output a list of every possible self dividing number, including the bounds if possible.

Example 1: Input: left = 1, right = 22

Output: [1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 15, 22]

Note:
The boundaries of each input argument are 1 <= left <= right <= 10000.

暴力法

复杂度

时间 O(NM)

思路

从左到右，对每个数字依次取出其各个位的数字，然后判断是否能整除。

代码

func selfDividingNumbers(left int, right int) []int {
    var res []int
    for ; left <= right; left++ {
        curr := left
        for curr > 0 {
            rem := curr % 10
            // the digit can't be zero and should be divisible
            if rem == 0 || left%rem != 0 {
                break
            }
            curr = curr / 10
        }
        if curr == 0 {
            res = append(res, left)
        }
    }
    return res
}