My iPhone 5s won't turn on or charge. When the logo appears it shuts down again.

I was just charging my phone then I noticed it's not charging. Then when I texted my friend it just shut down. The battery empty image showed. I charged it and it won't. I used a different cable and block, still not working. I even tried to charge my phone on the laptop. It tries to charge for a little bit, then after the logo appears, it shuts down again. What should I do?