Medium
You are given 2 integer arrays nums1
and nums2
of lengths n
and m
respectively. You are also given a positive integer k
.
A pair (i, j)
is called good if nums1[i]
is divisible by nums2[j] * k
(0 <= i <= n - 1
, 0 <= j <= m - 1
).
Return the total number of good pairs.
Example 1:
Input: nums1 = [1,3,4], nums2 = [1,3,4], k = 1
Output: 5
Explanation:
The 5 good pairs are (0, 0)
, (1, 0)
, (1, 1)
, (2, 0)
, and (2, 2)
.
Example 2:
Input: nums1 = [1,2,4,12], nums2 = [2,4], k = 3
Output: 2
Explanation:
The 2 good pairs are (3, 0)
and (3, 1)
.
Constraints:
1 <= n, m <= 105
1 <= nums1[i], nums2[j] <= 106
1 <= k <= 103
class Solution {
fun numberOfPairs(nums1: IntArray, nums2: IntArray, k: Int): Long {
val hm = HashMap<Int, Int>()
var ans: Long = 0
for (`val` in nums2) {
hm[`val` * k] = hm.getOrDefault(`val` * k, 0) + 1
}
for (index in nums1.indices) {
if (nums1[index] % k != 0) {
continue
}
var factor = 1
while (factor * factor <= nums1[index]) {
if (nums1[index] % factor != 0) {
factor++
continue
}
val factor1 = factor
val factor2 = nums1[index] / factor
if (hm.containsKey(factor1)) {
ans += hm[factor1]!!.toLong()
}
if (factor1 != factor2 && hm.containsKey(factor2)) {
ans += hm[factor2]!!.toLong()
}
factor++
}
}
return ans
}
}