Olaf Don't need Alot of attack speed because of his AMAZING passive . So , why build alot of dps item while u can do the same dmg or MORE with a tanky dps build ?

Runes :
- For Quintessense i suggest Greater Quintessense of desolation To make your 2rd spell more Useful
- For mark i suggest Greater Mark of desolation For the same reason as the Quintessense
- For glyph i use Greater glyph of Fortitude , to make you more tanky And boost youre 2rd spell again :)
- for seal i suggest Greater seal of alacrity for more Attack speed .

I start with Doran's shield For more health and armor .
For boots , why use Berserker's greaves insteed of mercury's threads
First , the berseker's greaves give more attack speed BUT the mercury's threads are mostly useful for his passive ( reduces stuns,slow,fears by 25% or something like that ) But Olaf have an ultimate who Cancel All Disables !
After i go for Frozen mallet m give good health , some damage and a good passive ( slow ennemies )
Than i go for Atma's ampaler , to put 2% of your max health in attack damage and get a little bit armor.
To make ur Atma's more Useful i use WArmog's armor For a lot of health !
Finally we finish with some Dps item Blood thirster and Infinity edge :)

I put my first spell in UNDERTOW to slow and harass ur ennemies at lvl 1 , than 2 level in Reckless swing to do good damage whitout having any Dps items . At lvl 4 put your first level in vicious strike . Than u put all the level u got in reckless swing ( at level 6 u took the ultimate xD ) After u got ur Reckless swing lvl 5 u boost ur vicious strike to lvl 5 to get life stealth and Dmg Due to ur Max health . Finally u boost undertow . ( Don't forget to put ur level in ur Ultimate everytime u can :P)

I use Ghost and exhaust
Ghost : For a good Chasing or escaping options
Exhaust : for a good chasing or to be use on a good Ad dps char ;)

Pros : -Olaf can escape easily with his ultimate and Ghost
-Olaf can do alot of damage whitout good Dps items Cuz of Reckless swing
-Olaf items make him Strong tanky dps cuz of his Atma's ampaler and vicious strike
Cons : -Olaf is not a really good farmer with this build
-Items that i use in my build Cost alot.

I hope you guys will like my build , Sorry for my bad english and don't be so bad in comment because it's my first build I put on MOBAfire.com

Thanks ;)