This obviously isn't the highest picked Olaf build, or meta. This is a build that I like to run when I feel like playing Olaf like a different champ than his normal Bruiser playstyle. I like to run this mostly when im queuing with friends to allow for a little more communication and understanding on the playstyle differing from normal Olaf. I still do have lots of success solo queueing and becoming a whole map threat.

I use all four of the rune pages depending on match ups.

Lethal Tempo allows for quicker hits to get more of the lifesteals effect, bloodline allows for more lifesteal in the early to mid game skirmishes from jungling and lane tax.

If they have slow attack speed champs I will run the Lethal Tempo and Alacrity to get a large attack speed advantage. More hits = More heals.

Conqueror focuses more on life steal with Alacrity letting you still get attack speed

I use this least of the 3 but if I feel like being an all game problem, Dark Harvest allows for me to take it to the next level snowball into the late game.

You can go Hailblade to start if you are going against a quick enemy team but Emberknife allows for some better early game ganks.
Goredrinker and [[Sterak's Gage
]] both go with Olaf very well and do great healing. Probably not a build out there without them. [[Berserker's Greaves
]] are your go to if everything is going well early game, if you start to fall behind and are getting bullied Plated Plated Steelcaps or Mercury's Treads still work fine
Next are the items you will want to take if everything goes smoothly and you do not fall behind early game. Death's Dance does not have to be bought first. I tend to buy it just when I notice my lifesteal is not keeping up as well as it should. Bloodthirster will not be bought everytime, but is a great late game finisher.
Divine Sunderer works to put a little more consistent damage and still get some healing from it, but Goredrinker is just a little more effective with Olaf's style
Eclipse if you just want to try and be an absolute monster, if you don't get ahead early, and end early it doesn't help hold Olaf up in the late Game.
Prowler's Claw allows for you to close distances against mobile opponents
If your early game goes horrible and you get a bad start, or you just start to fall off, the general Olaf build items help save your game along with just power farming.