Given a non-negative integer num
, repeatedly add all its digits until the result has only
one digit.
For example:
Given num = 38
, the process is like: 3
+ 8 = 11
, 1 + 1 = 2
. Since 2
has
only one digit, return it.
Follow up:
Could you do it without any loop/recursion in O(1) runtime?
Hint:
- A naive implementation of the above process is trivial. Could you come up with other methods?
- What are all the possible results?
- How do they occur, periodically or randomly?
- You may find this Wikipedia article useful.
int addDigits(int num) {
if(num<10)
return num;
if(num%9==0)
return 9;
else
return num%9;
}
另一種方式是直接應用公式
a的數根b = ( a - 1) % 9 + 1