Count Operations to Obtain Zero
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 <= 105
思路一：模拟
public int countOperations(int num1, int num2) {
int n = 0;
while (num1 > 0 && num2 > 0) {
if (num1 >= num2) {
num1 -= num2;
} else {
num2 -= num1;
}
n++;
}
return n;
}