All these answers seem a bit heavy to me.
If you just flat out remove the '\n' and move everything else back a spot, you are liable to have some characters slammed together in a weird-looking way. So why not just do the simple (and most efficient) thing: Replace all '\n's with spaces?
for (int i = 0; i < str.length();i++) {
if (str[i] == '\n') {
str[i] = ' ';
}
}
There may be ways to improve the speed of this at the edges, but it will be way quicker than moving whole chunks of the string around in memory.