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.
思路,遍历数组,对每一个数,从低位到高位判断,用模运算%和int除法
class Solution {
public:
vector<int> selfDividingNumbers(int left, int right) {
vector<int> result;
for(int i = left; i <= right; i++) {
int j = i;
while(j != 0) {
if ((j % 10 == 0) || (i % (j%10) != 0)) break;
j = j/10;
}
if(j == 0) result.push_back(i);
}
return result;
}
};
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