189. Rotate Array

Given an array, rotate the array to the right by k steps, where k is non-negative.

环型替换,先求出数列长度和轮转次数的最大公约数m。
然后依次替换数列中的每个值。

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//Rotate Array

class Solution {
public void rotate(int[] nums, int k) {
if (k != 0){
int m = gcd(nums.length,k);

for (int n = 0; n < m; n++ ) {
int i = n + k;
i %= nums.length;

int temp = nums[n];
while( true ){
int tempI = nums[i];
nums[i] = temp;
temp = tempI;

i += k;
i %= nums.length;

if (i == n){
nums[n] = temp;
break;
}
}
}
}
}

private int gcd(int a, int b){
int max = a;
int min = b;
if (max == min){
return min;
}

if ( a < b ){
max = b;
min = a;
}

return gcd(max - min, min);
}
}