# [2169. Count Operations to Obtain Zero](https://leetcode.com/problems/count-operations-to-obtain-zero/) ## 题目 You are given two **non-negative** integers `num1` and `num2`. In one **operation**, if `num1 >= num2`, you must subtract `num2` from `num1`, otherwise subtract `num1` from `num2`. - For example, if `num1 = 5` and `num2 = 4`, subtract `num2` from `num1`, thus obtaining `num1 = 1` and `num2 = 4`. However, if `num1 = 4` and `num2 = 5`, after one operation, `num1 = 4` and `num2 = 1`. Return *the **number of operations** required to make either* `num1 = 0` *or* `num2 = 0`. **Example 1:** ``` Input: num1 = 2, num2 = 3 Output: 3 Explanation: - Operation 1: num1 = 2, num2 = 3. Since num1 < num2, we subtract num1 from num2 and get num1 = 2, num2 = 3 - 2 = 1. - Operation 2: num1 = 2, num2 = 1. Since num1 > num2, we subtract num2 from num1. - Operation 3: num1 = 1, num2 = 1. Since num1 == num2, we subtract num2 from num1. Now num1 = 0 and num2 = 1. Since num1 == 0, we do not need to perform any further operations. So the total number of operations required is 3. ``` **Example 2:** ``` Input: num1 = 10, num2 = 10 Output: 1 Explanation: - Operation 1: num1 = 10, num2 = 10. Since num1 == num2, we subtract num2 from num1 and get num1 = 10 - 10 = 0. Now num1 = 0 and num2 = 10. Since num1 == 0, we are done. So the total number of operations required is 1. ``` **Constraints:** - `0 <= num1, num2 <= 10^5` ## 题目大意 给你两个 非负 整数 num1 和 num2 。每一步 操作 中,如果 num1 >= num2 ,你必须用 num1 减 num2 ;否则,你必须用 num2 减 num1 。 - 例如,num1 = 5 且 num2 = 4 ,应该用 num1 减 num2 ,因此,得到 num1 = 1 和 num2 = 4 。然而,如果 num1 = 4且 num2 = 5 ,一步操作后,得到 num1 = 4 和 num2 = 1 。 返回使 num1 = 0 或 num2 = 0 的 操作数 。 ## 解题思路 - 简单题,按照题意模拟,每次两个数字相减,便累加操作次数。当某个数字变为 0 时,输出操作次数。 ## 代码 ```go package leetcode func countOperations(num1 int, num2 int) int { res := 0 for num1 != 0 && num2 != 0 { if num1 >= num2 { num1 -= num2 } else { num2 -= num1 } res++ } return res } ```