"whatever you need" Seriously, adaptability is king in DJing. I view style in three parts; what I do on the mic, what I do with music and how me and my equipment look.
On the mic some clients want minimal speaking and others want the DJ to really use his voice to motivate the crowd often. I'm comfortable with any amount of interaction you prefer and I make sure all announcements are made clearly and concise. I did a short time in radio where I learned proper mic technique.
What I do with music is also super specific to the crowd in front of me and the music plan that is put together with each client. The bottom line is, music theory applies no matter what I'm playing so the mix will sound good.
Music lets us feel the same emotion someone else is feeling. As we sing along we assume the same breathing pattern and eventually start to connect with that human being. I don't think their is a deeper way to really understand someone else's unique human experience so I love taking in as much music as I can.
The final piece of "my style" is the way I look and how my equipment looks. I'm meticulous in this area. My set up is just clean, condensed and not visually intrusive. I wear clothing to match the event. If it's a wedding I'm in a suit, If it's a super bowl party the suit stays home and it's TB12 all the way!