题目:
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
.
public class SelfDividingNumbers {
public static List<Integer> selfDividingNumbers(int left, int right) {
List<Integer> resultList = new ArrayList<>();
if (left < 1){
resultList.add(0);
return resultList;
}
for (int num = left; num <= right ; num++) {
if (selfDividing(num))
resultList.add(num);
}
return resultList;
}
public static boolean selfDividing(int num){
int x = num;
while (x > 0){
int y = x % 10;
if (y == 0){
return false;
}
if (num % y != 0){
return false;
}
x = x / 10;
}
return true;
}
public static void main(String[] args) {
System.out.println(selfDividingNumbers(1,22).toString());
}
}