Please explain what the following code is supposed to do and what the result will be:

int$[]$ numbers $=\{40,3,5,7,8,12,10\}$;

int a $=$ numbers$[0]$;

for $($int i $=1,$ i $<$ numbers.length; i$++)$

$\{$

if $($numbers $[$i$]<$ a$)$

a $=$ numbers $[$i$]$;

$\}$

System.out.println$($a$)$;