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728. Self Dividing Numbers

Description

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.

A self-dividing number is not allowed to contain the digit zero.

Given two integers left and right, return a list of all the self-dividing numbers in the range [left, right].

 

Example 1:

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

Example 2:

Input: left = 47, right = 85
Output: [48,55,66,77]

 

Constraints:

  • 1 <= left <= right <= 104

Solutions

  • class Solution {
    public List<Integer> selfDividingNumbers(int left, int right) {
        List<Integer> ans = new ArrayList<>();
        for (int i = left; i <= right; ++i) {
            if (check(i)) {
                ans.add(i);
            }
        }
        return ans;
    }

    private boolean check(int num) {
        for (int t = num; t != 0; t /= 10) {
            int x = t % 10;
            if (x == 0 || num % x != 0) {
                return false;
            }
        }
        return true;
    }
}

  • class Solution {
public:
    vector<int> selfDividingNumbers(int left, int right) {
        vector<int> ans;
        for (int i = left; i <= right; ++i)
            if (check(i))
                ans.push_back(i);
        return ans;
    }

    bool check(int num) {
        for (int t = num; t; t /= 10) {
            int x = t % 10;
            if (x == 0 || num % x) return false;
        }
        return true;
    }
};

  • class Solution:
    def selfDividingNumbers(self, left: int, right: int) -> List[int]:
        return [
            num
            for num in range(left, right + 1)
            if all(i != '0' and num % int(i) == 0 for i in str(num))
        ]


  • func selfDividingNumbers(left int, right int) []int {
	check := func(num int) bool {
		for t := num; t != 0; t /= 10 {
			x := t % 10
			if x == 0 || num%x != 0 {
				return false
			}
		}
		return true
	}

	var ans []int
	for i := left; i <= right; i++ {
		if check(i) {
			ans = append(ans, i)
		}
	}
	return ans
}

  • impl Solution {
    pub fn self_dividing_numbers(left: i32, right: i32) -> Vec<i32> {
        let mut res = vec![];
        for i in left..=right {
            let mut num = i;
            if (
                loop {
                    if num == 0 {
                        break true;
                    }
                    let j = num % 10;
                    if j == 0 || i % j != 0 {
                        break false;
                    }
                    num /= 10;
                }
            ) {
                res.push(i);
            }
        }
        res
    }
}


  • function selfDividingNumbers(left: number, right: number): number[] {
    const check = (x: number): boolean => {
        for (let y = x; y; y = Math.floor(y / 10)) {
            if (y % 10 === 0 || x % (y % 10) !== 0) {
                return false;
            }
        }
        return true;
    };
    return Array.from({ length: right - left + 1 }, (_, i) => i + left).filter(check);
}

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