Install Libreoffice from PPA

Simply use the official PPA :

sudo add-apt-repository ppa:libreoffice/ppa
sudo apt-get update

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Option 1 : You don't have libreoffice yet :

Open a terminal (Ctrl+Alt+T) and run:

sudo apt-get install libreoffice

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Option 2 : You already have an old version of LibreOffice (4.x) :

Open a terminal (Ctrl+Alt+T) and run:

sudo apt-get upgrade

More information :

https://launchpad.net/~libreoffice