# 1250. Check If It Is a Good Array

https://leetcode.com/problems/check-if-it-is-a-good-array

## Description

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`

## ac

```java
```
