Haskell

There's probably a really clever way of abstracting just the difference between the two layouts.

import Data.Char (isSpace)  
import Data.List (transpose)  
import Data.List.Split (splitWhen)  

op '+' = sum  
op '*' = product  

part1 =  
  sum  
    . map ((op . head . last) <*> (map read . init))  
    . (transpose . map words . lines)  

part2 =  
  sum  
    . map ((op . last . last) <*> map (read . init))  
    . (splitWhen (all isSpace) . reverse . transpose . lines)  

main = do  
  input <- readFile "input06"  
  print $ part1 input  
  print $ part2 input