原题:728.Self Dividing Numbers
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
examples
Input:
left = 1, right = 22
Output: [1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 15, 22]
题目大意
一个self_deviding数能够被它所包含的所有数字整除。现在给出一组数的上界和下界,求出所有是self_dividing number的数,因为0不能作为除数,所以肯定不能有数字0
解题思路
将每个数字依次分解保留在一个数组中,再遍历数组把每个元素当作除数进行取余
代码
class Solution {
public:
vector<int> selfDividingNumbers(int left, int right)
{
vector<int> ans;
int i=0,j=0;
for(i=left;i<=right;i++)
{
int a[5]={0};
int temp=i,k=0;
while(temp)
{
a[k++]=temp%10;
temp/=10;
}
for(j=0;j<k;j++)
{
if(a[j]==0||(i%a[j])!=0)
break;
}
if(j==k)
ans.push_back(i);
}
return ans;
}
};