Something like this would work. Just create filetype autocmd that map <F4> or whatever you want to save and compile and run the program. It uses exec to build the string and uses shellescape to escape the file name.
autocmd filetype python nnoremap <F4> :w <bar> exec '!python '.shellescape('%')<CR>
autocmd filetype c nnoremap <F4> :w <bar> exec '!gcc '.shellescape('%').' -o '.shellescape('%:r').' && ./'.shellescape('%:r')<CR>
autocmd filetype cpp nnoremap <F4> :w <bar> exec '!g++ '.shellescape('%').' -o '.shellescape('%:r').' && ./'.shellescape('%:r')<CR>
% is the current buffer filename. %:r is the buffer filename without extension