Set QLineEdit to accept only numbers

QLineEdit::setValidator(), for example:

myLineEdit->setValidator( new QIntValidator(0, 100, this) );

or

myLineEdit->setValidator( new QDoubleValidator(0, 100, 2, this) );

See: QIntValidator, QDoubleValidator, QLineEdit::setValidator

The best is QSpinBox.

And for a double value use QDoubleSpinBox.

QSpinBox myInt;
myInt.setMinimum(-5);
myInt.setMaximum(5);
myInt.setSingleStep(1);// Will increment the current value with 1 (if you use up arrow key) (if you use down arrow key => -1)
myInt.setValue(2);// Default/begining value
myInt.value();// Get the current value
//connect(&myInt, SIGNAL(valueChanged(int)), this, SLOT(myValueChanged(int)));

The Regex Validator

So far, the other answers provide solutions for only a relatively finite number of digits. However, if you're concerned with an arbitrary or a variable number of digits you can use a QRegExpValidator, passing a regex that only accepts digits (as noted by user2962533's comment). Here's a minimal, complete example:

#include <QApplication>
#include <QLineEdit>
#include <QRegExpValidator>

int main(int argc, char *argv[])
{
    QApplication app(argc, argv);

    QLineEdit le;
    le.setValidator(new QRegExpValidator(QRegExp("[0-9]*"), &le));
    le.show();

    return app.exec();
}

The QRegExpValidator has its merits (and that's only an understatement). It allows for a bunch of other useful validations:

QRegExp("[1-9][0-9]*")    //  leading digit must be 1 to 9 (prevents leading zeroes).
QRegExp("\\d*")           //  allows matching for unicode digits (e.g. for 
                          //    Arabic-Indic numerals such as ٤٥٦).
QRegExp("[0-9]+")         //  input must have at least 1 digit.
QRegExp("[0-9]{8,32}")    //  input must be between 8 to 32 digits (e.g. for some basic
                          //    password/special-code checks).
QRegExp("[0-1]{,4}")      //  matches at most four 0s and 1s.
QRegExp("0x[0-9a-fA-F]")  //  matches a hexadecimal number with one hex digit.
QRegExp("[0-9]{13}")      //  matches exactly 13 digits (e.g. perhaps for ISBN?).
QRegExp("[0-9]{1,3}\\.[0-9]{1,3}\\.[0-9]{1,3}\\.[0-9]{1,3}")
                          //  matches a format similar to an ip address.
                          //    N.B. invalid addresses can still be entered: "999.999.999.999".     

More On Line-edit Behaviour

According to documentation:

Note that if there is a validator set on the line edit, the returnPressed()/editingFinished() signals will only be emitted if the validator returns QValidator::Acceptable.

Thus, the line-edit will allow the user to input digits even if the minimum amount has not yet been reached. For example, even if the user hasn't inputted any text against the regex "[0-9]{3,}" (which requires at least 3 digits), the line-edit still allows the user to type input to reach that minimum requirement. However, if the user finishes editing without satsifying the requirement of "at least 3 digits", the input would be invalid; the signals returnPressed() and editingFinished() won't be emitted.

If the regex had a maximum-bound (e.g. "[0-1]{,4}"), then the line-edit will stop any input past 4 characters. Additionally, for character sets (i.e. [0-9], [0-1], [0-9A-F], etc.) the line-edit only allows characters from that particular set to be inputted.

_{Note that I've only tested this with Qt 5.11 on a macOS, not on other Qt versions or operating systems. But given Qt's cross-platform schema...}

_{Demo: Regex Validators Showcase}