Q: How can I close the running apps I iPhone 5s?

Double click your home button this brings up a list of currently running apps on your iphone. When you see the list of apps then with your finger you can swipe straight up for the app to be shut down.

Good luck.

Very few apps are actually "running" in the background, such as audio streaming and navigation. Some wiill update data, and this can be disabled in settings.  Most are simply suspended without consuming resources and are there  for easy task switching.  They don't need to be closed. 

iOS: Understanding multitasking