题目描述:
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?
思路一:
数字根问题:https://en.wikipedia.org/wiki/Digital_root#Congruence_formula
class Solution {
public int addDigits(int num) {
return 1 + (num - 1) % 9;
}
}思路二:
class Solution {
public int addDigits(int num) {
return num % 9 == 0 ? (num == 0 ? 0 : 9) : (num % 9);
}
}
本文探讨了如何求解数字根问题,即不断累加一个非负整数的所有位数直到结果仅剩一位数的过程。提供了两种高效算法,一种利用公式1+(num-1)%9直接计算结果,另一种通过判断num%9的余数来得出答案。
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