Find the maximum element which is common in two arrays?

Question

Given two arrays, how to find the maximum element which is common to both the arrays?

I was thinking of sorting both the arrays(n log n) and then perform the binary sear

Answer 1

Pseudocode:

sort list1 in descending order
sort list2 in descending order
item *p1 = list1
item *p2 = list2
while ((*p1 != *p2) && (haven't hit the end of either list))
  if (*p1 > *p2)
    ++p1;
  else
    ++p2;
// here, either we have *p1 == *p2, or we hit the end of one of the lists
if (*p1 == *p2)
  return *p1;
return NOT_FOUND;