Hard
Given an array nums
of positive integers. Your task is to select some subset of nums
, multiply each element by an integer and add all these numbers. The array is said to be **good **if you can obtain a sum of 1
from the array by any possible subset and multiplicand.
Return True
if the array is **good **otherwise return False
.
Example 1:
Input: nums = [12,5,7,23]
Output: true
Explanation: Pick numbers 5 and 7. 5*3 + 7*(-2) = 1
Example 2:
Input: nums = [29,6,10]
Output: true
Explanation: Pick numbers 29, 6 and 10. 29*1 + 6*(-3) + 10*(-1) = 1
Example 3:
Input: nums = [3,6]
Output: false
Constraints:
1 <= nums.length <= 10^5
1 <= nums[i] <= 10^9
class Solution {
private fun gcd(a: Int, b: Int): Int {
return if (b == 0) {
a
} else {
gcd(b, a % b)
}
}
fun isGoodArray(nums: IntArray): Boolean {
var ans = nums[0]
for (element in nums) {
ans = gcd(ans, element)
if (ans == 1) {
return true
}
}
return false
}
}