Most lions and tigers do get along with each other really well.
Some lions and tigers will do just great when around each other and others may fight each other and not get along.
Just like some dogs get along with some other dogs or cats get along with other cats and sometimes they don't.
Or humans may get along with some other humans but not others.
It all depends on the lion and tiger as to whether or not they like each other.
But I've seen some lions and tigers in the wild lay down next to each other and one lion was licking a tigers face and cleaning them.
So in that case yes the lion and tiger got along just fine.