189. Rotate Array

Math

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class Solution {
public void rotate(int[] nums, int k) {
k %= nums.length;

if (k == 0) {
return;
}

for (int i = 0; i < getGreatestCommonDivisor(nums.length, k); i++) {
int targetIndex = (i + k) % nums.length;
while (targetIndex != i) {
swap(nums, i, targetIndex);
targetIndex = (targetIndex + k) % nums.length;
}
}
}

private int getGreatestCommonDivisor(int a, int b) {
if (b == 0) {
return a;
}

return getGreatestCommonDivisor(b, a % b);
}

private void swap(int[] nums, int i, int j) {
int tmp = nums[i];
nums[i] = nums[j];
nums[j] = tmp;
}
}

该方法完全是在草稿纸上找规律找出来的。

Reverse

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class Solution {
public void rotate(int[] nums, int k) {
k %= nums.length;
if (k == 0) {
return;
}

// 输入: nums = [1, 2, 3, 4, 5, 6, 7], k = 3 输出: [5, 6, 7, 1, 2, 3, 4]

reverse(nums, 0, nums.length - 1);
reverse(nums, 0, k - 1);
reverse(nums, k, nums.length - 1);
}

private void reverse(int[] nums, int i, int j) {
while (i < j) {
swap(nums, i++, j--);
}
}

private void swap(int[] nums, int i, int j) {
int tmp = nums[i];
nums[i] = nums[j];
nums[j] = tmp;
}
}

References

189. Rotate Array