Giants believed in the honor of single combat. Their battle may have looked chaotic from an eagle's perspective, but if one went down to the ground, one would realize that there was a strange sense of order to the war.
Each giant chose one opponent from the enemy side. They performed a greeting ritual and then began to fight. This happened on a scale of tens of thousands of troops, so it naturally caused quite a scene.
Those who were not chosen for battle stood back and waited. When one battle ended, the winner would move further into enemy lines and challenge once more. It was the most brutal and direct form of war to exist. The actual combat was the same.
The giants had their own elements, sure, but they were giants at the end of the day. They fought with their fists, and when they used weapons, they preferred heavy weapons or blunt weapons over anything else.