Contrary to what the name may imply, Long Island iced tea doesn't have any tea in it.
Fill a cocktail shaker with ice, then pour, in this order, vodka, tequila, rum, gin, Cointreau/triple sec, and sweet and sour mix. Put the cover on and shake it up until the outside of the shaker turns frosty. In a highball glass, place a few ice cubes then strain in the drink. Top with cola, and garnish with a lime wedge.